Least Common Multiple of 704, 992, 245, 956, 294

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, 992, 245, 956, 294 i.e. 3833712960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 704, 992, 245, 956, 294 is 3833712960.

LCM(704, 992, 245, 956, 294) = 3833712960

LCM of 704, 992, 245, 956, 294

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

LCM of:

Least Common Multiple of 704,992,245,956,294

Least Common Multiple (LCM) of 704,992,245,956,294 is 3833712960

2 704, 992, 245, 956, 294
2 352, 496, 245, 478, 147
2 176, 248, 245, 239, 147
2 88, 124, 245, 239, 147
2 44, 62, 245, 239, 147
7 22, 31, 245, 239, 147
7 22, 31, 35, 239, 21
22, 31, 5, 239, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 7 x 22 x 31 x 5 x 239 x 3 = 3833712960

Least Common Multiple of 704,992,245,956,294 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 704,992,245,956,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,992,245,956,294) = 1

common factors(in case of two or more numbers have common factors) = 12544

GCF(704,992,245,956,294) x common factors =1 x 12544 = 12544

LCM(704,992,245,956,294) = ( 704 × 992 × 245 × 956 × 294 ) / 12544

LCM(704,992,245,956,294) = 48090095370240 / 12544

LCM(704,992,245,956,294) = 3833712960

∴ Least Common Multiple of 704,992,245,956,294 is 3833712960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 704, 992, 245, 956, 294

1. What is the LCM of 704, 992, 245, 956, 294?

Answer: LCM of 704, 992, 245, 956, 294 is 3833712960.

2. What are the Factors of 3833712960?

Answer: Factors of 3833712960 are . There are integers that are factors of 3833712960

3. How to Find the LCM of 704, 992, 245, 956, 294 ?

Least Common Multiple of 704, 992, 245, 956, 294.

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, 992, 245, 956, 294) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 31 x 239 = 3833712960.