Least Common Multiple of 736, 896

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 736, 896 i.e. 20608 smallest integer divisible by all numbers.

Least common multiple (LCM) of 736, 896 is 20608.

LCM(736, 896) = 20608

LCM of 736, 896

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

LCM of:

Least Common Multiple of 736,896

Least Common Multiple (LCM) of 736,896 is 20608

2 736, 896
2 368, 448
2 184, 224
2 92, 112
2 46, 56
23, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 23 x 28 = 20608

Least Common Multiple of 736,896 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 736,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,896) = 32

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

GCF(736,896) x common factors =32 x 1 = 32

LCM(736,896) = ( 736 × 896 ) / 32

LCM(736,896) = 659456 / 32

LCM(736,896) = 20608

∴ Least Common Multiple of 736,896 is 20608

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 736, 896

1. What is the LCM of 736, 896?

Answer: LCM of 736, 896 is 20608.

2. What are the Factors of 20608?

Answer: Factors of 20608 are . There are integers that are factors of 20608

3. How to Find the LCM of 736, 896 ?

Least Common Multiple of 736, 896.

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(736, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 23 = 20608.