Least Common Multiple of 992, 743, 387, 989, 966

Q: How to Find the LCM of 992, 743, 387, 989, 966 ?

Least Common Multiple of 992, 743, 387, 989, 966 = 45923748192 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(992, 743, 387, 989, 966) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23 x 31 x 43 x 743 = 45923748192.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 992, 743, 387, 989, 966 i.e. 45923748192 smallest integer divisible by all numbers.

Least common multiple (LCM) of 992, 743, 387, 989, 966 is 45923748192.

LCM(992, 743, 387, 989, 966) = 45923748192

LCM of 992, 743, 387, 989, 966

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 992, 743, 387, 989, 966 by common division method
Least Common Multiple of 992, 743, 387, 989, 966 with GCF Formula

Least Common Multiple of 992,743,387,989,966

Least Common Multiple (LCM) of 992,743,387,989,966 is 45923748192

2	992, 743, 387, 989, 966
3	496, 743, 387, 989, 483
23	496, 743, 129, 989, 161
43	496, 743, 129, 43, 7
	496, 743, 3, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 23 x 43 x 496 x 743 x 3 x 1 x 7 = 45923748192

Least Common Multiple of 992,743,387,989,966 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 992,743,387,989,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,743,387,989,966) = 1

common factors(in case of two or more numbers have common factors) = 5934

GCF(992,743,387,989,966) x common factors =1 x 5934 = 5934

LCM(992,743,387,989,966) = ( 992 × 743 × 387 × 989 × 966 ) / 5934

LCM(992,743,387,989,966) = 272511521771328 / 5934

LCM(992,743,387,989,966) = 45923748192

∴ Least Common Multiple of 992,743,387,989,966 is 45923748192

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 992, 743, 387, 989, 966

1. What is the LCM of 992, 743, 387, 989, 966?

Answer: LCM of 992, 743, 387, 989, 966 is 45923748192.

2. What are the Factors of 45923748192?

Answer: Factors of 45923748192 are . There are integers that are factors of 45923748192

3. How to Find the LCM of 992, 743, 387, 989, 966 ?

Least Common Multiple of 992, 743, 387, 989, 966.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(992, 743, 387, 989, 966) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23 x 31 x 43 x 743 = 45923748192.