Least Common Multiple of 272, 504, 360

Q: How to Find the LCM of 272, 504, 360 ?

Least Common Multiple of 272, 504, 360 = 85680 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(272, 504, 360) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 = 85680.

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 272, 504, 360 i.e. 85680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 272, 504, 360 is 85680.

LCM(272, 504, 360) = 85680

LCM of 272, 504, 360

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

Least Common Multiple of 272, 504, 360 by common division method
Least Common Multiple of 272, 504, 360 with GCF Formula

Least Common Multiple of 272,504,360

Least Common Multiple (LCM) of 272,504,360 is 85680

2	272, 504, 360
2	136, 252, 180
2	68, 126, 90
3	34, 63, 45
3	34, 21, 15
	34, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 34 x 7 x 5 = 85680

Least Common Multiple of 272,504,360 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 272,504,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,504,360) = 8

common factors(in case of two or more numbers have common factors) = 72

GCF(272,504,360) x common factors =8 x 72 = 576

LCM(272,504,360) = ( 272 × 504 × 360 ) / 576

LCM(272,504,360) = 49351680 / 576

LCM(272,504,360) = 85680

∴ Least Common Multiple of 272,504,360 is 85680

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 272, 504, 360

1. What is the LCM of 272, 504, 360?

Answer: LCM of 272, 504, 360 is 85680.

2. What are the Factors of 85680?

Answer: Factors of 85680 are . There are integers that are factors of 85680

3. How to Find the LCM of 272, 504, 360 ?

Least Common Multiple of 272, 504, 360.

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(272, 504, 360) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 = 85680.