Least Common Multiple of 736, 3456

Q: How to Find the LCM of 736, 3456 ?

Least Common Multiple of 736, 3456 = 79488 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, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23 = 79488.

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, 3456 i.e. 79488 smallest integer divisible by all numbers.

Least common multiple (LCM) of 736, 3456 is 79488.

LCM(736, 3456) = 79488

LCM of 736, 3456

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

Least Common Multiple of 736, 3456 by common division method
Least Common Multiple of 736, 3456 with GCF Formula

Least Common Multiple of 736,3456

Least Common Multiple (LCM) of 736,3456 is 79488

2	736, 3456
2	368, 1728
2	184, 864
2	92, 432
2	46, 216
	23, 108

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 23 x 108 = 79488

Least Common Multiple of 736,3456 with GCF Formula

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

We need to calculate greatest common factor of 736,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,3456) = 32

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

GCF(736,3456) x common factors =32 x 1 = 32

LCM(736,3456) = ( 736 × 3456 ) / 32

LCM(736,3456) = 2543616 / 32

LCM(736,3456) = 79488

∴ Least Common Multiple of 736,3456 is 79488

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 736, 3456

1. What is the LCM of 736, 3456?

Answer: LCM of 736, 3456 is 79488.

2. What are the Factors of 79488?

Answer: Factors of 79488 are . There are integers that are factors of 79488

3. How to Find the LCM of 736, 3456 ?

Least Common Multiple of 736, 3456.

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, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23 = 79488.