Least Common Multiple of 354, 1008

Q: How to Find the LCM of 354, 1008 ?

Least Common Multiple of 354, 1008 = 59472 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(354, 1008) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 59 = 59472.

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 354, 1008 i.e. 59472 smallest integer divisible by all numbers.

Least common multiple (LCM) of 354, 1008 is 59472.

LCM(354, 1008) = 59472

LCM of 354, 1008

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

Least Common Multiple of 354, 1008 by common division method
Least Common Multiple of 354, 1008 with GCF Formula

Least Common Multiple of 354,1008

Least Common Multiple (LCM) of 354,1008 is 59472

2	354, 1008
3	177, 504
	59, 168

∴ So the LCM of the given numbers is 2 x 3 x 59 x 168 = 59472

Least Common Multiple of 354,1008 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 354,1008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,1008) = 6

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

GCF(354,1008) x common factors =6 x 1 = 6

LCM(354,1008) = ( 354 × 1008 ) / 6

LCM(354,1008) = 356832 / 6

LCM(354,1008) = 59472

∴ Least Common Multiple of 354,1008 is 59472

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 354, 1008

1. What is the LCM of 354, 1008?

Answer: LCM of 354, 1008 is 59472.

2. What are the Factors of 59472?

Answer: Factors of 59472 are . There are integers that are factors of 59472

3. How to Find the LCM of 354, 1008 ?

Least Common Multiple of 354, 1008.

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(354, 1008) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 59 = 59472.