Least Common Multiple of 12, 28, 38, 40, 96

Q: How to Find the LCM of 12, 28, 38, 40, 96 ?

Least Common Multiple of 12, 28, 38, 40, 96 = 63840 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(12, 28, 38, 40, 96) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 = 63840.

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 12, 28, 38, 40, 96 i.e. 63840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 28, 38, 40, 96 is 63840.

LCM(12, 28, 38, 40, 96) = 63840

LCM of 12, 28, 38, 40, 96

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

Least Common Multiple of 12, 28, 38, 40, 96 by common division method
Least Common Multiple of 12, 28, 38, 40, 96 with GCF Formula

Least Common Multiple of 12,28,38,40,96

Least Common Multiple (LCM) of 12,28,38,40,96 is 63840

2	12, 28, 38, 40, 96
2	6, 14, 19, 20, 48
2	3, 7, 19, 10, 24
3	3, 7, 19, 5, 12
	1, 7, 19, 5, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 7 x 19 x 5 x 4 = 63840

Least Common Multiple of 12,28,38,40,96 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 12,28,38,40,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,28,38,40,96) = 2

common factors(in case of two or more numbers have common factors) = 384

GCF(12,28,38,40,96) x common factors =2 x 384 = 768

LCM(12,28,38,40,96) = ( 12 × 28 × 38 × 40 × 96 ) / 768

LCM(12,28,38,40,96) = 49029120 / 768

LCM(12,28,38,40,96) = 63840

∴ Least Common Multiple of 12,28,38,40,96 is 63840

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 12, 28, 38, 40, 96

1. What is the LCM of 12, 28, 38, 40, 96?

Answer: LCM of 12, 28, 38, 40, 96 is 63840.

2. What are the Factors of 63840?

Answer: Factors of 63840 are . There are integers that are factors of 63840

3. How to Find the LCM of 12, 28, 38, 40, 96 ?

Least Common Multiple of 12, 28, 38, 40, 96.

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(12, 28, 38, 40, 96) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 = 63840.