Least Common Multiple of 2/875, 42/720, 65/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/875, 42/720, 65/120 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/875, 42/720, 65/120 is 546.

LCM(2/875, 42/720, 65/120) = 546

LCM of 2/875, 42/720, 65/120

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2/875,42/720,65/120

Given numbers are 2/875,42/720,65/120

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2,42,65

Least Common Multiple of Numerators i.e. LCM of 2,42,65 is 2730.

GCF of Denominators means GCF of 875,720,120 as per the given fractions.

GCF of 875,720,120 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,42,65

LCM of Fractions 2/875,42/720,65/120 is 546

2 2, 42, 65
1, 21, 65

∴ So the LCM of the given numbers is 2 x 1 x 21 x 65 = 2730

Least Common Multiple of 2,42,65 with GCF Formula

Least Common Multiple of 2,42,65 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 2,42,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,42,65) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(2,42,65) x common factors =1 x 2 = 2

LCM(2,42,65) = ( 2 × 42 × 65 ) / 2

LCM(2,42,65) = 5460 / 2

LCM(2,42,65) = 2730


Lets's calculate GCF of 875,720,120

5 875, 720, 120
175, 144, 24

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730/5

Therefore the LCM of Fractions 2/875,42/720,65/120 is 546

Greatest Common Factor of 875,720,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,720,120 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 875,720,120 . The biggest common factor number is the GCF number.
So the greatest common factor 875,720,120 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2/875, 42/720, 65/120

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2/875, 42/720, 65/120?

Answer: LCM of Numerators as per given numbers 2/875, 42/720, 65/120 is

LCM of Numerators i.e. for 2,42,65 is 2730

GCF of denominators i.e. for 875,720,120 is 5.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 2/875, 42/720, 65/120 is 546.