Least Common Multiple of 992, 7568

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, 7568 i.e. 469216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 992, 7568 is 469216.

LCM(992, 7568) = 469216

LCM of 992, 7568

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

LCM of:

Least Common Multiple of 992,7568

Least Common Multiple (LCM) of 992,7568 is 469216

2 992, 7568
2 496, 3784
2 248, 1892
2 124, 946
62, 473

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 62 x 473 = 469216

Least Common Multiple of 992,7568 with GCF Formula

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

We need to calculate greatest common factor of 992,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,7568) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(992,7568) x common factors =16 x 1 = 16

LCM(992,7568) = ( 992 × 7568 ) / 16

LCM(992,7568) = 7507456 / 16

LCM(992,7568) = 469216

∴ Least Common Multiple of 992,7568 is 469216

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 992, 7568

1. What is the LCM of 992, 7568?

Answer: LCM of 992, 7568 is 469216.

2. What are the Factors of 469216?

Answer: Factors of 469216 are . There are integers that are factors of 469216

3. How to Find the LCM of 992, 7568 ?

Least Common Multiple of 992, 7568.

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, 7568) = 2 x 2 x 2 x 2 x 2 x 11 x 31 x 43 = 469216.