Least Common Multiple of 456, 378, 864

Q: How to Find the LCM of 456, 378, 864 ?

Least Common Multiple of 456, 378, 864 = 114912 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(456, 378, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 = 114912.

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 456, 378, 864 i.e. 114912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 456, 378, 864 is 114912.

LCM(456, 378, 864) = 114912

LCM of 456, 378, 864

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

Least Common Multiple of 456, 378, 864 by common division method
Least Common Multiple of 456, 378, 864 with GCF Formula

Least Common Multiple of 456,378,864

Least Common Multiple (LCM) of 456,378,864 is 114912

2	456, 378, 864
2	228, 189, 432
2	114, 189, 216
3	57, 189, 108
3	19, 63, 36
3	19, 21, 12
	19, 7, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 19 x 7 x 4 = 114912

Least Common Multiple of 456,378,864 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 456,378,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,378,864) = 6

common factors(in case of two or more numbers have common factors) = 216

GCF(456,378,864) x common factors =6 x 216 = 1296

LCM(456,378,864) = ( 456 × 378 × 864 ) / 1296

LCM(456,378,864) = 148925952 / 1296

LCM(456,378,864) = 114912

∴ Least Common Multiple of 456,378,864 is 114912

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 456, 378, 864

1. What is the LCM of 456, 378, 864?

Answer: LCM of 456, 378, 864 is 114912.

2. What are the Factors of 114912?

Answer: Factors of 114912 are . There are integers that are factors of 114912

3. How to Find the LCM of 456, 378, 864 ?

Least Common Multiple of 456, 378, 864.

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(456, 378, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 = 114912.