Least Common Multiple of 14, 60, 20, 724

Q: How to Find the LCM of 14, 60, 20, 724 ?

Least Common Multiple of 14, 60, 20, 724 = 76020 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(14, 60, 20, 724) = 2 x 2 x 3 x 5 x 7 x 181 = 76020.

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 14, 60, 20, 724 i.e. 76020 smallest integer divisible by all numbers.

Least common multiple (LCM) of 14, 60, 20, 724 is 76020.

LCM(14, 60, 20, 724) = 76020

LCM of 14, 60, 20, 724

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

Least Common Multiple of 14, 60, 20, 724 by common division method
Least Common Multiple of 14, 60, 20, 724 with GCF Formula

Least Common Multiple of 14,60,20,724

Least Common Multiple (LCM) of 14,60,20,724 is 76020

2	14, 60, 20, 724
2	7, 30, 10, 362
5	7, 15, 5, 181
	7, 3, 1, 181

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 3 x 1 x 181 = 76020

Least Common Multiple of 14,60,20,724 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 14,60,20,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,60,20,724) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(14,60,20,724) x common factors =2 x 80 = 160

LCM(14,60,20,724) = ( 14 × 60 × 20 × 724 ) / 160

LCM(14,60,20,724) = 12163200 / 160

LCM(14,60,20,724) = 76020

∴ Least Common Multiple of 14,60,20,724 is 76020

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 14, 60, 20, 724

1. What is the LCM of 14, 60, 20, 724?

Answer: LCM of 14, 60, 20, 724 is 76020.

2. What are the Factors of 76020?

Answer: Factors of 76020 are . There are integers that are factors of 76020

3. How to Find the LCM of 14, 60, 20, 724 ?

Least Common Multiple of 14, 60, 20, 724.

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(14, 60, 20, 724) = 2 x 2 x 3 x 5 x 7 x 181 = 76020.