Least Common Multiple of 175, 210, 120

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 175, 210, 120 i.e. 4200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 175, 210, 120 is 4200.

LCM(175, 210, 120) = 4200

LCM of 175, 210, 120

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

LCM of:

Least Common Multiple of 175,210,120

Least Common Multiple (LCM) of 175,210,120 is 4200

2 175, 210, 120
3 175, 105, 60
5 175, 35, 20
7 7, 35, 4
1, 5, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 5 x 4 = 4200

Least Common Multiple of 175,210,120 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 175,210,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,210,120) = 5

common factors(in case of two or more numbers have common factors) = 210

GCF(175,210,120) x common factors =5 x 210 = 1050

LCM(175,210,120) = ( 175 × 210 × 120 ) / 1050

LCM(175,210,120) = 4410000 / 1050

LCM(175,210,120) = 4200

∴ Least Common Multiple of 175,210,120 is 4200

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 175, 210, 120

1. What is the LCM of 175, 210, 120?

Answer: LCM of 175, 210, 120 is 4200.

2. What are the Factors of 4200?

Answer: Factors of 4200 are . There are integers that are factors of 4200

3. How to Find the LCM of 175, 210, 120 ?

Least Common Multiple of 175, 210, 120.

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(175, 210, 120) = 2 x 2 x 2 x 3 x 5 x 5 x 7 = 4200.