Least Common Multiple of 749, 22, 856, 704

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 749, 22, 856, 704 i.e. 527296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 749, 22, 856, 704 is 527296.

LCM(749, 22, 856, 704) = 527296

LCM of 749, 22, 856, 704

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

LCM of:

Least Common Multiple of 749,22,856,704

Least Common Multiple (LCM) of 749,22,856,704 is 527296

2 749, 22, 856, 704
2 749, 11, 428, 352
2 749, 11, 214, 176
11 749, 11, 107, 88
107 749, 1, 107, 8
7, 1, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 107 x 7 x 1 x 1 x 8 = 527296

Least Common Multiple of 749,22,856,704 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 749,22,856,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,22,856,704) = 1

common factors(in case of two or more numbers have common factors) = 18832

GCF(749,22,856,704) x common factors =1 x 18832 = 18832

LCM(749,22,856,704) = ( 749 × 22 × 856 × 704 ) / 18832

LCM(749,22,856,704) = 9930038272 / 18832

LCM(749,22,856,704) = 527296

∴ Least Common Multiple of 749,22,856,704 is 527296

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 749, 22, 856, 704

1. What is the LCM of 749, 22, 856, 704?

Answer: LCM of 749, 22, 856, 704 is 527296.

2. What are the Factors of 527296?

Answer: Factors of 527296 are . There are integers that are factors of 527296

3. How to Find the LCM of 749, 22, 856, 704 ?

Least Common Multiple of 749, 22, 856, 704.

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(749, 22, 856, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 107 = 527296.