Least Common Multiple of 704, 9992

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 704, 9992 i.e. 879296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 704, 9992 is 879296.

LCM(704, 9992) = 879296

LCM of 704, 9992

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

LCM of:

Least Common Multiple of 704,9992

Least Common Multiple (LCM) of 704,9992 is 879296

2 704, 9992
2 352, 4996
2 176, 2498
88, 1249

∴ So the LCM of the given numbers is 2 x 2 x 2 x 88 x 1249 = 879296

Least Common Multiple of 704,9992 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 704,9992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,9992) = 8

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

GCF(704,9992) x common factors =8 x 1 = 8

LCM(704,9992) = ( 704 × 9992 ) / 8

LCM(704,9992) = 7034368 / 8

LCM(704,9992) = 879296

∴ Least Common Multiple of 704,9992 is 879296

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 704, 9992

1. What is the LCM of 704, 9992?

Answer: LCM of 704, 9992 is 879296.

2. What are the Factors of 879296?

Answer: Factors of 879296 are . There are integers that are factors of 879296

3. How to Find the LCM of 704, 9992 ?

Least Common Multiple of 704, 9992.

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(704, 9992) = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 1249 = 879296.