Question

What is the smallest integer that is multiple of 5, 7 and 20?

Answer 1

smallest integer that is a multiple of 5, 7 ,20
is = 140 , how ?

take L.C.M of 5,7 ,20

5 = 5×1 , 7=7 ×1 , 20 = 2 × 2 × 5

L.C.M = 5 × 7 × 2 × 2

L.C.M = 140

hence, the required smallest integer that is multiple of 5, 7 and 20 is 140 .
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Your Answer: 140
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Answer 2

Answer:

The answer to the given question is the smallest integer that is a multiple of 5, 7 and 20 is 140.

Step-by-step explanation:

Given :

Three numbers are given as 5,7 and 20.

To find :

we have to find the smallest number that is a multiple of the above three numbers.

Solution :

The factors of a given number are obtained by the HCF of the numbers. likewise, the multiples of the given numbers are found by the LCM of the given numbers.

The LCM of the given numbers will be obtained by the prime factorisation method.

The prime factors of 5 are

$5)5 \\ 1$

The prime factors of 7 are

$7)7 \\ )1$

The prime factors of 20 are

$2)20 \\ 2)10 \\ 5)5 \\ )1$

Therefore, the factors of these numbers are

$5 = 5 \times 1 \\ 7 = 7 \times 1 \\ 20 = 2 \times 2 \times 5$

Therefore, the LCM of the given number will be

$5 \times 7 \times2 \times 2 = 35 \times 4 = 140$

The final value obtained is 140.

Therefore, the smallest integer that is a multiple of 5,7, and 150 is 140.

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