Least Common Multiple of 536, 1008

Q: How to Find the LCM of 536, 1008 ?

Least Common Multiple of 536, 1008 = 67536 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(536, 1008) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 67 = 67536.

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 536, 1008 i.e. 67536 smallest integer divisible by all numbers.

Least common multiple (LCM) of 536, 1008 is 67536.

LCM(536, 1008) = 67536

LCM of 536, 1008

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

Least Common Multiple of 536, 1008 by common division method
Least Common Multiple of 536, 1008 with GCF Formula

Least Common Multiple of 536,1008

Least Common Multiple (LCM) of 536,1008 is 67536

2	536, 1008
2	268, 504
2	134, 252
	67, 126

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 126 = 67536

Least Common Multiple of 536,1008 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 536,1008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,1008) = 8

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

GCF(536,1008) x common factors =8 x 1 = 8

LCM(536,1008) = ( 536 × 1008 ) / 8

LCM(536,1008) = 540288 / 8

LCM(536,1008) = 67536

∴ Least Common Multiple of 536,1008 is 67536

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 536, 1008

1. What is the LCM of 536, 1008?

Answer: LCM of 536, 1008 is 67536.

2. What are the Factors of 67536?

Answer: Factors of 67536 are . There are integers that are factors of 67536

3. How to Find the LCM of 536, 1008 ?

Least Common Multiple of 536, 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(536, 1008) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 67 = 67536.