Least Common Multiple of 74, 1344

Q: How to Find the LCM of 74, 1344 ?

Least Common Multiple of 74, 1344 = 49728 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(74, 1344) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 37 = 49728.

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 74, 1344 i.e. 49728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 1344 is 49728.

LCM(74, 1344) = 49728

LCM of 74, 1344

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

Least Common Multiple of 74, 1344 by common division method
Least Common Multiple of 74, 1344 with GCF Formula

Least Common Multiple of 74,1344

Least Common Multiple (LCM) of 74,1344 is 49728

2	74, 1344
	37, 672

∴ So the LCM of the given numbers is 2 x 37 x 672 = 49728

Least Common Multiple of 74,1344 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 74,1344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,1344) = 2

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

GCF(74,1344) x common factors =2 x 1 = 2

LCM(74,1344) = ( 74 × 1344 ) / 2

LCM(74,1344) = 99456 / 2

LCM(74,1344) = 49728

∴ Least Common Multiple of 74,1344 is 49728

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 74, 1344

1. What is the LCM of 74, 1344?

Answer: LCM of 74, 1344 is 49728.

2. What are the Factors of 49728?

Answer: Factors of 49728 are . There are integers that are factors of 49728

3. How to Find the LCM of 74, 1344 ?

Least Common Multiple of 74, 1344.

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(74, 1344) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 37 = 49728.