Least Common Multiple of 475, 380, 864

Q: How to Find the LCM of 475, 380, 864 ?

Least Common Multiple of 475, 380, 864 = 410400 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(475, 380, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 = 410400.

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 475, 380, 864 i.e. 410400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 475, 380, 864 is 410400.

LCM(475, 380, 864) = 410400

LCM of 475, 380, 864

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

Least Common Multiple of 475, 380, 864 by common division method
Least Common Multiple of 475, 380, 864 with GCF Formula

Least Common Multiple of 475,380,864

Least Common Multiple (LCM) of 475,380,864 is 410400

2	475, 380, 864
2	475, 190, 432
5	475, 95, 216
19	19, 95, 216
	1, 5, 216

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 1 x 5 x 216 = 410400

Least Common Multiple of 475,380,864 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 475,380,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,380,864) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(475,380,864) x common factors =1 x 380 = 380

LCM(475,380,864) = ( 475 × 380 × 864 ) / 380

LCM(475,380,864) = 155952000 / 380

LCM(475,380,864) = 410400

∴ Least Common Multiple of 475,380,864 is 410400

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 475, 380, 864

1. What is the LCM of 475, 380, 864?

Answer: LCM of 475, 380, 864 is 410400.

2. What are the Factors of 410400?

Answer: Factors of 410400 are . There are integers that are factors of 410400

3. How to Find the LCM of 475, 380, 864 ?

Least Common Multiple of 475, 380, 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(475, 380, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 = 410400.