Least Common Multiple of 504, 705

Q: How to Find the LCM of 504, 705 ?

Least Common Multiple of 504, 705 = 118440 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(504, 705) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 47 = 118440.

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 504, 705 i.e. 118440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 705 is 118440.

LCM(504, 705) = 118440

LCM of 504, 705

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

Least Common Multiple of 504, 705 by common division method
Least Common Multiple of 504, 705 with GCF Formula

Least Common Multiple of 504,705

Least Common Multiple (LCM) of 504,705 is 118440

3	504, 705
	168, 235

∴ So the LCM of the given numbers is 3 x 168 x 235 = 118440

Least Common Multiple of 504,705 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 504,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,705) = 3

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

GCF(504,705) x common factors =3 x 1 = 3

LCM(504,705) = ( 504 × 705 ) / 3

LCM(504,705) = 355320 / 3

LCM(504,705) = 118440

∴ Least Common Multiple of 504,705 is 118440

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 504, 705

1. What is the LCM of 504, 705?

Answer: LCM of 504, 705 is 118440.

2. What are the Factors of 118440?

Answer: Factors of 118440 are . There are integers that are factors of 118440

3. How to Find the LCM of 504, 705 ?

Least Common Multiple of 504, 705.

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(504, 705) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 47 = 118440.