Least Common Multiple of 86, 76, 72, 180

Q: How to Find the LCM of 86, 76, 72, 180 ?

Least Common Multiple of 86, 76, 72, 180 = 294120 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(86, 76, 72, 180) = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 43 = 294120.

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 86, 76, 72, 180 i.e. 294120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 86, 76, 72, 180 is 294120.

LCM(86, 76, 72, 180) = 294120

LCM of 86, 76, 72, 180

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

Least Common Multiple of 86, 76, 72, 180 by common division method
Least Common Multiple of 86, 76, 72, 180 with GCF Formula

Least Common Multiple of 86,76,72,180

Least Common Multiple (LCM) of 86,76,72,180 is 294120

2	86, 76, 72, 180
2	43, 38, 36, 90
3	43, 19, 18, 45
3	43, 19, 6, 15
	43, 19, 2, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 43 x 19 x 2 x 5 = 294120

Least Common Multiple of 86,76,72,180 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 86,76,72,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,76,72,180) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(86,76,72,180) x common factors =2 x 144 = 288

LCM(86,76,72,180) = ( 86 × 76 × 72 × 180 ) / 288

LCM(86,76,72,180) = 84706560 / 288

LCM(86,76,72,180) = 294120

∴ Least Common Multiple of 86,76,72,180 is 294120

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 86, 76, 72, 180

1. What is the LCM of 86, 76, 72, 180?

Answer: LCM of 86, 76, 72, 180 is 294120.

2. What are the Factors of 294120?

Answer: Factors of 294120 are . There are integers that are factors of 294120

3. How to Find the LCM of 86, 76, 72, 180 ?

Least Common Multiple of 86, 76, 72, 180.

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(86, 76, 72, 180) = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 43 = 294120.