Least Common Multiple of 36, 90, 96, 46, 960

Q: How to Find the LCM of 36, 90, 96, 46, 960 ?

Least Common Multiple of 36, 90, 96, 46, 960 = 66240 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, 90, 96, 46, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 = 66240.

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, 90, 96, 46, 960 i.e. 66240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 90, 96, 46, 960 is 66240.

LCM(36, 90, 96, 46, 960) = 66240

LCM of 36, 90, 96, 46, 960

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

Least Common Multiple of 36, 90, 96, 46, 960 by common division method
Least Common Multiple of 36, 90, 96, 46, 960 with GCF Formula

Least Common Multiple of 36,90,96,46,960

Least Common Multiple (LCM) of 36,90,96,46,960 is 66240

2	36, 90, 96, 46, 960
2	18, 45, 48, 23, 480
2	9, 45, 24, 23, 240
2	9, 45, 12, 23, 120
2	9, 45, 6, 23, 60
3	9, 45, 3, 23, 30
3	1, 15, 3, 23, 10
5	1, 5, 1, 23, 10
	1, 1, 1, 23, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 1 x 1 x 23 x 2 = 66240

Least Common Multiple of 36,90,96,46,960 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 36,90,96,46,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,90,96,46,960) = 2

common factors(in case of two or more numbers have common factors) = 103680

GCF(36,90,96,46,960) x common factors =2 x 103680 = 207360

LCM(36,90,96,46,960) = ( 36 × 90 × 96 × 46 × 960 ) / 207360

LCM(36,90,96,46,960) = 13735526400 / 207360

LCM(36,90,96,46,960) = 66240

∴ Least Common Multiple of 36,90,96,46,960 is 66240

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 36, 90, 96, 46, 960

1. What is the LCM of 36, 90, 96, 46, 960?

Answer: LCM of 36, 90, 96, 46, 960 is 66240.

2. What are the Factors of 66240?

Answer: Factors of 66240 are . There are integers that are factors of 66240

3. How to Find the LCM of 36, 90, 96, 46, 960 ?

Least Common Multiple of 36, 90, 96, 46, 960.

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, 90, 96, 46, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 = 66240.