Least Common Multiple of 78, 18, 96, 468

Q: How to Find the LCM of 78, 18, 96, 468 ?

Least Common Multiple of 78, 18, 96, 468 = 3744 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(78, 18, 96, 468) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 = 3744.

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 78, 18, 96, 468 i.e. 3744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 18, 96, 468 is 3744.

LCM(78, 18, 96, 468) = 3744

LCM of 78, 18, 96, 468

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

Least Common Multiple of 78, 18, 96, 468 by common division method
Least Common Multiple of 78, 18, 96, 468 with GCF Formula

Least Common Multiple of 78,18,96,468

Least Common Multiple (LCM) of 78,18,96,468 is 3744

2	78, 18, 96, 468
2	39, 9, 48, 234
3	39, 9, 24, 117
3	13, 3, 8, 39
13	13, 1, 8, 13
	1, 1, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 1 x 1 x 8 x 1 = 3744

Least Common Multiple of 78,18,96,468 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 78,18,96,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,18,96,468) = 6

common factors(in case of two or more numbers have common factors) = 2808

GCF(78,18,96,468) x common factors =6 x 2808 = 16848

LCM(78,18,96,468) = ( 78 × 18 × 96 × 468 ) / 16848

LCM(78,18,96,468) = 63078912 / 16848

LCM(78,18,96,468) = 3744

∴ Least Common Multiple of 78,18,96,468 is 3744

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 78, 18, 96, 468

1. What is the LCM of 78, 18, 96, 468?

Answer: LCM of 78, 18, 96, 468 is 3744.

2. What are the Factors of 3744?

Answer: Factors of 3744 are . There are integers that are factors of 3744

3. How to Find the LCM of 78, 18, 96, 468 ?

Least Common Multiple of 78, 18, 96, 468.

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(78, 18, 96, 468) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 = 3744.