What is the smallest number when divided by numbers 2, 4, 6 gives remainder 0?

Last updated at Dec. 16, 2024 by

Number which divides 2, 4, 6 will be in table of these numbers

So, it will be a multiple.

Since it divides all these numbers, it will be a common multiple


Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, ….

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32 ….

Multiples of 6 are 6, 12, 18, 24, 30, 36, …

So, common multiples are 12, 24, ..

 

Here, we need to find the smallest number

So, Smallest number = 12

And this is the number which when divided by 2, 4, 6 gives remainder 0

And it is also the LCM – Least Common multiple

 

So, LCM = Number which gives remainder 0 when dividing by 2, 4, 6

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Transcript

What is the smallest number when dividing by numbers 2, 4, 6 gives remainder 0? Number which divides 2, 4, 6 will be in table of these numbers So, it will be a multiple. Since it divides all these numbers, it will be a common multiple Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, . Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32 . Multiples of 6 are 6, 12, 18, 24, 30, 36, So, common multiples are 12, 24, .. Here, we need to find the smallest number So, Smallest number = 12 And this is the number which when divided by 2, 4, 6 gives remainder 0 And it is also the LCM Least Common multiple So, LCM = Number which gives remainder 0 when dividing by 2, 4, 6

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo