FIND THE SMALLEST NUMBER WHICH HAS THE GIVEN PRIME FACTORS

Prime factors of number are the prime numbers that are multiplied to get the original number.

If the number having different prime factors then the product of the prime numbers will be smallest number.

Example 1 :

What is the smallest whole number which is the factors of

2, 3 and 5

Solution :

Here the given factors 2, 3 and 5 are prime factors.

=  2 × 3 × 5

=  6 × 5

=  30

So, the required smallest number is 30, which has the factors 2, 3 and 5.

Example 2 :

What is the smallest whole number which is the factors of

3, 5 and 7

Solution :

Here the given factors 3, 5 and 7 are prime factors.

=  3 × 5 × 7

=  15 × 7

=  105

So, the required smallest number is 105, which has the factors 3, 5 and 7.

Example 3 :

What is the smallest whole number which is the factors of

 2, 3, 5 and 7

Solution :

Here the given factors 2, 3, 5 and 7 are prime factors.

=  2 × 3 × 5 × 7

=  30 × 7

=  210

So, the required smallest number is 210, which has the factors 2, 3, 5 and 7.

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