Least Common Multiple of 2612/75, 7684/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2612/75, 7684/120 quickly i.e. 5017652/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2612/75, 7684/120 is 5017652/15.

LCM(2612/75, 7684/120) = 5017652/15

LCM of 2612/75, 7684/120

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 2612/75,7684/120

Given numbers are 2612/75,7684/120

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 2612,7684

Least Common Multiple of Numerators i.e. LCM of 2612,7684 is 5017652.

GCF of Denominators means GCF of 75,120 as per the given fractions.

GCF of 75,120 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2612,7684

LCM of Fractions 2612/75,7684/120 is 5017652/15

2 2612, 7684
2 1306, 3842
653, 1921

∴ So the LCM of the given numbers is 2 x 2 x 653 x 1921 = 5017652

Least Common Multiple of 2612,7684 with GCF Formula

Least Common Multiple of 2612,7684 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 2612,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2612,7684) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2612,7684) x common factors =4 x 1 = 4

LCM(2612,7684) = ( 2612 × 7684 ) / 4

LCM(2612,7684) = 20070608 / 4

LCM(2612,7684) = 5017652


Lets's calculate GCF of 75,120

3 75, 120
5 25, 40
5, 8

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5017652/15

Therefore the LCM of Fractions 2612/75,7684/120 is 5017652/15

Greatest Common Factor of 75,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,120 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 75,120 . The biggest common factor number is the GCF number.
So the greatest common factor 75,120 is 15.


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 2612/75, 7684/120

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 2612/75, 7684/120?

Answer: LCM of Numerators as per given numbers 2612/75, 7684/120 is

LCM of Numerators i.e. for 2612,7684 is 5017652

GCF of denominators i.e. for 75,120 is 15.

Thus, LCM of Fractions is 5017652/15.Finally, LCM of Fractions for 2612/75, 7684/120 is 5017652/15.