Least Common Multiple of 72, 53, 60, 32, 838

Q: How to Find the LCM of 72, 53, 60, 32, 838 ?

Least Common Multiple of 72, 53, 60, 32, 838 = 31978080 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(72, 53, 60, 32, 838) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53 x 419 = 31978080.

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 72, 53, 60, 32, 838 i.e. 31978080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 53, 60, 32, 838 is 31978080.

LCM(72, 53, 60, 32, 838) = 31978080

LCM of 72, 53, 60, 32, 838

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

Least Common Multiple of 72, 53, 60, 32, 838 by common division method
Least Common Multiple of 72, 53, 60, 32, 838 with GCF Formula

Least Common Multiple of 72,53,60,32,838

Least Common Multiple (LCM) of 72,53,60,32,838 is 31978080

2	72, 53, 60, 32, 838
2	36, 53, 30, 16, 419
2	18, 53, 15, 8, 419
3	9, 53, 15, 4, 419
	3, 53, 5, 4, 419

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 53 x 5 x 4 x 419 = 31978080

Least Common Multiple of 72,53,60,32,838 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 72,53,60,32,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,53,60,32,838) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(72,53,60,32,838) x common factors =1 x 192 = 192

LCM(72,53,60,32,838) = ( 72 × 53 × 60 × 32 × 838 ) / 192

LCM(72,53,60,32,838) = 6139791360 / 192

LCM(72,53,60,32,838) = 31978080

∴ Least Common Multiple of 72,53,60,32,838 is 31978080

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 72, 53, 60, 32, 838

1. What is the LCM of 72, 53, 60, 32, 838?

Answer: LCM of 72, 53, 60, 32, 838 is 31978080.

2. What are the Factors of 31978080?

Answer: Factors of 31978080 are . There are integers that are factors of 31978080

3. How to Find the LCM of 72, 53, 60, 32, 838 ?

Least Common Multiple of 72, 53, 60, 32, 838.

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(72, 53, 60, 32, 838) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53 x 419 = 31978080.