Least Common Multiple of 840, 170, 870

Q: How to Find the LCM of 840, 170, 870 ?

Least Common Multiple of 840, 170, 870 = 414120 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(840, 170, 870) = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 29 = 414120.

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 840, 170, 870 i.e. 414120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 840, 170, 870 is 414120.

LCM(840, 170, 870) = 414120

LCM of 840, 170, 870

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

Least Common Multiple of 840, 170, 870 by common division method
Least Common Multiple of 840, 170, 870 with GCF Formula

Least Common Multiple of 840,170,870

Least Common Multiple (LCM) of 840,170,870 is 414120

2	840, 170, 870
3	420, 85, 435
5	140, 85, 145
	28, 17, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 28 x 17 x 29 = 414120

Least Common Multiple of 840,170,870 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 840,170,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,170,870) = 10

common factors(in case of two or more numbers have common factors) = 30

GCF(840,170,870) x common factors =10 x 30 = 300

LCM(840,170,870) = ( 840 × 170 × 870 ) / 300

LCM(840,170,870) = 124236000 / 300

LCM(840,170,870) = 414120

∴ Least Common Multiple of 840,170,870 is 414120

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 840, 170, 870

1. What is the LCM of 840, 170, 870?

Answer: LCM of 840, 170, 870 is 414120.

2. What are the Factors of 414120?

Answer: Factors of 414120 are . There are integers that are factors of 414120

3. How to Find the LCM of 840, 170, 870 ?

Least Common Multiple of 840, 170, 870.

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(840, 170, 870) = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 29 = 414120.