Least Common Multiple of 36, 76, 72, 493

Q: How to Find the LCM of 36, 76, 72, 493 ?

Least Common Multiple of 36, 76, 72, 493 = 674424 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(36, 76, 72, 493) = 2 x 2 x 2 x 3 x 3 x 17 x 19 x 29 = 674424.

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 36, 76, 72, 493 i.e. 674424 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 76, 72, 493 is 674424.

LCM(36, 76, 72, 493) = 674424

LCM of 36, 76, 72, 493

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

Least Common Multiple of 36, 76, 72, 493 by common division method
Least Common Multiple of 36, 76, 72, 493 with GCF Formula

Least Common Multiple of 36,76,72,493

Least Common Multiple (LCM) of 36,76,72,493 is 674424

2	36, 76, 72, 493
2	18, 38, 36, 493
3	9, 19, 18, 493
3	3, 19, 6, 493
	1, 19, 2, 493

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 19 x 2 x 493 = 674424

Least Common Multiple of 36,76,72,493 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 36,76,72,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,76,72,493) = 1

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

GCF(36,76,72,493) x common factors =1 x 144 = 144

LCM(36,76,72,493) = ( 36 × 76 × 72 × 493 ) / 144

LCM(36,76,72,493) = 97117056 / 144

LCM(36,76,72,493) = 674424

∴ Least Common Multiple of 36,76,72,493 is 674424

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 36, 76, 72, 493

1. What is the LCM of 36, 76, 72, 493?

Answer: LCM of 36, 76, 72, 493 is 674424.

2. What are the Factors of 674424?

Answer: Factors of 674424 are . There are integers that are factors of 674424

3. How to Find the LCM of 36, 76, 72, 493 ?

Least Common Multiple of 36, 76, 72, 493.

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(36, 76, 72, 493) = 2 x 2 x 2 x 3 x 3 x 17 x 19 x 29 = 674424.