Least Common Multiple of 36, 78, 40, 45, 872

Q: How to Find the LCM of 36, 78, 40, 45, 872 ?

Least Common Multiple of 36, 78, 40, 45, 872 = 510120 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, 78, 40, 45, 872) = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 109 = 510120.

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, 78, 40, 45, 872 i.e. 510120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 78, 40, 45, 872 is 510120.

LCM(36, 78, 40, 45, 872) = 510120

LCM of 36, 78, 40, 45, 872

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

Least Common Multiple of 36, 78, 40, 45, 872 by common division method
Least Common Multiple of 36, 78, 40, 45, 872 with GCF Formula

Least Common Multiple of 36,78,40,45,872

Least Common Multiple (LCM) of 36,78,40,45,872 is 510120

2	36, 78, 40, 45, 872
2	18, 39, 20, 45, 436
2	9, 39, 10, 45, 218
3	9, 39, 5, 45, 109
3	3, 13, 5, 15, 109
5	1, 13, 5, 5, 109
	1, 13, 1, 1, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 13 x 1 x 1 x 109 = 510120

Least Common Multiple of 36,78,40,45,872 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 36,78,40,45,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,78,40,45,872) = 1

common factors(in case of two or more numbers have common factors) = 8640

GCF(36,78,40,45,872) x common factors =1 x 8640 = 8640

LCM(36,78,40,45,872) = ( 36 × 78 × 40 × 45 × 872 ) / 8640

LCM(36,78,40,45,872) = 4407436800 / 8640

LCM(36,78,40,45,872) = 510120

∴ Least Common Multiple of 36,78,40,45,872 is 510120

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 36, 78, 40, 45, 872

1. What is the LCM of 36, 78, 40, 45, 872?

Answer: LCM of 36, 78, 40, 45, 872 is 510120.

2. What are the Factors of 510120?

Answer: Factors of 510120 are . There are integers that are factors of 510120

3. How to Find the LCM of 36, 78, 40, 45, 872 ?

Least Common Multiple of 36, 78, 40, 45, 872.

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, 78, 40, 45, 872) = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 109 = 510120.