Identify the smallest common multiple

Oct 13, 2025 by windailys.com 14 views

Introduction

Least Common Multiple (LCM) is a concept in mathematics that is used to find the smallest number that is a multiple of two or more numbers. In this article, we will discuss how to find the LCM of 150 and 200. The LCM of two numbers is the smallest number that is a multiple of both numbers. It is an essential concept in mathematics, particularly in algebra and number theory.

What is LCM?

LCM is a concept that is used to find the smallest number that is a multiple of two or more numbers. It is also known as the smallest common multiple (SCM). The LCM of two numbers is the smallest number that is a multiple of both numbers. For example, the LCM of 12 and 15 is 60, because 60 is the smallest number that is a multiple of both 12 and 15.

How to Find LCM?

To find the LCM of two numbers, we need to follow these steps:

List the multiples of each number.
Find the common multiples of both numbers.
Identify the smallest common multiple.

Let's apply these steps to find the LCM of 150 and 200.

Step 1: List the Multiples of Each Number

The multiples of 150 are: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500, 1650, 1800, 1950, 2100, 2250, 2400, 2550, 2700, 2850, 3000, 3150, 3300, 3450, 3600, 3750, 3900, 4050, 4200, 4350, 4500, 4650, 4800, 4950, 5100, 5250, 5400, 5550, 5700, 5850, 6000, 6150, 6300, 6450, 6600, 6750, 6900, 7050, 7200, 7350, 7500, 7650, 7800, 7950, 8100, 8250, 8400, 8550, 8700, 8850, 9000, 9150, 9300, 9450, 9600, 9750, 9900, 10050, 10200, 10350, 10500, 10650, 10800, 10950, 11100, 11250, 11400, 11550, 11700, 11850, 12000, 12150, 12300, 12450, 12600, 12750, 12900, 13050, 13200, 13350, 13500, 13650, 13800, 13950, 14100, 14250, 14400, 14550, 14700, 14850, 15000, 15150, 15300, 15450, 15600, 15750, 15900, 16050, 16200, 16350, 16500, 16650, 16800, 16950, 17100, 17250, 17400, 17550, 17700, 17850, 18000, 18150, 18300, 18450, 18600, 18750, 18900, 19050, 19200, 19350, 19500, 19650, 19800, 19950, 20100, 20250, 20400, 20550, 20700, 20850, 21000, 21150, 21300, 21450, 21600, 21750, 21900, 22050, 22200, 22350, 22500, 22650, 22800, 22950, 23100, 23250, 23400, 23550, 23700, 23850, 24000, 24150, 24300, 24450, 24600, 24750, 24900, 25050, 25200, 25350, 25500, 25650, 25800, 25950, 26100, 26250, 26400, 26550, 26700, 26850, 27000, 27150, 27300, 27450, 27600, 27750, 27900, 28050, 28200, 28350, 28500, 28650, 28800, 28950, 29100, 29250, 29400, 29550, 29700, 29850, 30000, 30150, 30300, 30450, 30600, 30750, 30900, 31050, 31200, 31350, 31500, 31650, 31800, 31950, 32100, 32250, 32400, 32550, 32700, 32850, 33000, 33150, 33300, 33450, 33600, 33750, 33900, 34050, 34200, 34350, 34500, 34650, 34800, 34950, 35100, 35250, 35400, 35550, 35700, 35850, 36000, 36150, 36300, 36450, 36600, 36750, 36900, 37050, 37200, 37350, 37500, 37650, 37800, 37950, 38100, 38250, 38400, 38550, 38700, 38850, 39000, 39150, 39300, 39450, 39600, 39750, 39900, 40050, 40200, 40350, 40500, 40650, 40800, 40950, 41100, 41250, 41400, 41550, 41700, 41850, 42000, 42150, 42300, 42450, 42600, 42750, 42900, 43050, 43200, 43350, 43500, 43650, 43800, 43950, 44100, 44250, 44400, 44550, 44700, 44850, 45000, 45150, 45300, 45450, 45600, 45750, 45900, 46050, 46200, 46350, 46500, 46650, 46800, 46950, 47100, 47250, 47400, 47550, 47700, 47850, 48000, 48150, 48300, 48450, 48600, 48750, 48900, 49050, 49200, 49350, 49500, 49650, 49800, 49950, 50100, 50250, 50400, 50550, 50700, 50850, 51000, 51150, 51300, 51450, 51600, 51750, 51900, 52050, 52200, 52350, 52500, 52650, 52800, 52950, 53100, 53250, 53400, 53550, 53700, 53850, 54000, 54150, 54300, 54450, 54600, 54750, 54900, 55050, 55200, 55350, 55500, 55650, 55800, 55950, 56100, 56250, 56400, 56550, 56700, 56850, 57000, 57150, 57300, 57450, 57600, 57750, 57900, 58050, 58200, 58350, 58500, 58650, 58800, 58950, 59100, 59250, 59400, 59550, 59700, 59850, 60000, 60150, 60300, 60450, 60600, 60750, 60900, 61050, 61200, 61350, 61500, 61650, 61800, 61950, 62100, 62250, 62400, 62550, 62700, 62850, 63000, 63150, 63300, 63450, 63600, 63750, 63900, 64050, 64200, 64350, 64500, 64650, 64800, 64950, 65100, 65250, 65400, 65550, 65700, 65850, 66000, 66150,