Find the least no. Which is divisible by all no. From 1 to 10
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Answered by
2
there are 10 numbers including 1 and 10
1 2 3 4 5 6 7 8 9 10
all numbers are divisible by 1
numbers divisible by 8 are also divisible by 2 and 4
numbers divisible by 9 are also divisible by 3 and 6
so, eliminate the common factors
so, 5 7 8 and 9 are the unique ones
so, 5*6*8*9=2520
Answered by
1
Hey,
Your answer is here,
The least number divisible by all the numbers from 1 to 10 will be the LCM of these numbers.
We have,
1 = 1
2 = 2 × 1
3 = 3 × 1
4 = 2 × 2
5 = 5 × 1
6 = 2 × 3
7 = 7 × 1
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
So, LCM of these numbers = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520
Hence, least number divisible by all the numbers from 1 to 10 is 2520
Hope it helps you ☺️
Your answer is here,
The least number divisible by all the numbers from 1 to 10 will be the LCM of these numbers.
We have,
1 = 1
2 = 2 × 1
3 = 3 × 1
4 = 2 × 2
5 = 5 × 1
6 = 2 × 3
7 = 7 × 1
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
So, LCM of these numbers = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520
Hence, least number divisible by all the numbers from 1 to 10 is 2520
Hope it helps you ☺️
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