Least Common Multiple of 384, 400, 105

Q: How to Find the LCM of 384, 400, 105 ?

Least Common Multiple of 384, 400, 105 = 67200 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(384, 400, 105) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 = 67200.

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 384, 400, 105 i.e. 67200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 400, 105 is 67200.

LCM(384, 400, 105) = 67200

LCM of 384, 400, 105

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

Least Common Multiple of 384, 400, 105 by common division method
Least Common Multiple of 384, 400, 105 with GCF Formula

Least Common Multiple of 384,400,105

Least Common Multiple (LCM) of 384,400,105 is 67200

2	384, 400, 105
2	192, 200, 105
2	96, 100, 105
2	48, 50, 105
3	24, 25, 105
5	8, 25, 35
	8, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 8 x 5 x 7 = 67200

Least Common Multiple of 384,400,105 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 384,400,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,400,105) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(384,400,105) x common factors =1 x 240 = 240

LCM(384,400,105) = ( 384 × 400 × 105 ) / 240

LCM(384,400,105) = 16128000 / 240

LCM(384,400,105) = 67200

∴ Least Common Multiple of 384,400,105 is 67200

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 384, 400, 105

1. What is the LCM of 384, 400, 105?

Answer: LCM of 384, 400, 105 is 67200.

2. What are the Factors of 67200?

Answer: Factors of 67200 are . There are integers that are factors of 67200

3. How to Find the LCM of 384, 400, 105 ?

Least Common Multiple of 384, 400, 105.

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(384, 400, 105) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 = 67200.