Question

Find the LCM of three numbers if LCM of first two number is 4760 and the third number is 1377

Answer 1

Answer:

Find the L.C.M. of three numbers, if LCM of first two numbers is 4760 and the2. Find the last two numbers. First number is 40, HCF and LCM of first two nurrespectively. LCM of all numbers is 600 and HCF is 120 and the third number is4760 and the third numbti iCM of first two numbers are 20 and 120nf the numbers is 6477.

Step-by-step explanation:

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Answer 2

Answer:

The LCM of three numbers is 385560.

Step-by-step explanation:

Given LCM of first two number is 4760.      

The third number is 1377.

The LCM of three numbers is the LCM of the two numbers and the third number.

The least common multiple (LCM) of any two numbers is the lowest possible number that can be divisible by both the numbers.

The prime factorization of 4760: $2\times2\times 2\times5\times 7\times 17$  or $2^{3} \times5^1\times 7^1\times 17^1$

The prime factorization of 1377:  $3 \times 3 \times 3 \times 3 \times 17$ or $3^{4} \times 17^1$

In prime factorization method, the LCM is the product of the common and uncommon prime factors with the greatest exponent.

Thus, the LCM of 4760 and 1377 is

$2^{3} \times5^1\times 7^1\times 17^1 \times3^{4} =385560$

Therefore, the LCM of three numbers is 385560.

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