Least Common Multiple of 170, 102, 400

Q: How to Find the LCM of 170, 102, 400 ?

Least Common Multiple of 170, 102, 400 = 20400 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(170, 102, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 = 20400.

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 170, 102, 400 i.e. 20400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 170, 102, 400 is 20400.

LCM(170, 102, 400) = 20400

LCM of 170, 102, 400

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

Least Common Multiple of 170, 102, 400 by common division method
Least Common Multiple of 170, 102, 400 with GCF Formula

Least Common Multiple of 170,102,400

Least Common Multiple (LCM) of 170,102,400 is 20400

2	170, 102, 400
5	85, 51, 200
17	17, 51, 40
	1, 3, 40

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 3 x 40 = 20400

Least Common Multiple of 170,102,400 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 170,102,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,102,400) = 2

common factors(in case of two or more numbers have common factors) = 170

GCF(170,102,400) x common factors =2 x 170 = 340

LCM(170,102,400) = ( 170 × 102 × 400 ) / 340

LCM(170,102,400) = 6936000 / 340

LCM(170,102,400) = 20400

∴ Least Common Multiple of 170,102,400 is 20400

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 170, 102, 400

1. What is the LCM of 170, 102, 400?

Answer: LCM of 170, 102, 400 is 20400.

2. What are the Factors of 20400?

Answer: Factors of 20400 are . There are integers that are factors of 20400

3. How to Find the LCM of 170, 102, 400 ?

Least Common Multiple of 170, 102, 400.

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(170, 102, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 = 20400.