Least Common Multiple of 378, 612, 896

Q: How to Find the LCM of 378, 612, 896 ?

Least Common Multiple of 378, 612, 896 = 411264 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(378, 612, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 = 411264.

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 378, 612, 896 i.e. 411264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 378, 612, 896 is 411264.

LCM(378, 612, 896) = 411264

LCM of 378, 612, 896

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

Least Common Multiple of 378, 612, 896 by common division method
Least Common Multiple of 378, 612, 896 with GCF Formula

Least Common Multiple of 378,612,896

Least Common Multiple (LCM) of 378,612,896 is 411264

2	378, 612, 896
2	189, 306, 448
3	189, 153, 224
3	63, 51, 224
7	21, 17, 224
	3, 17, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 3 x 17 x 32 = 411264

Least Common Multiple of 378,612,896 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 378,612,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,612,896) = 2

common factors(in case of two or more numbers have common factors) = 252

GCF(378,612,896) x common factors =2 x 252 = 504

LCM(378,612,896) = ( 378 × 612 × 896 ) / 504

LCM(378,612,896) = 207277056 / 504

LCM(378,612,896) = 411264

∴ Least Common Multiple of 378,612,896 is 411264

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 378, 612, 896

1. What is the LCM of 378, 612, 896?

Answer: LCM of 378, 612, 896 is 411264.

2. What are the Factors of 411264?

Answer: Factors of 411264 are . There are integers that are factors of 411264

3. How to Find the LCM of 378, 612, 896 ?

Least Common Multiple of 378, 612, 896.

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(378, 612, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 = 411264.