Least Common Multiple of 7696/120, 3374/2430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7696/120, 3374/2430 quickly i.e. 12983152/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7696/120, 3374/2430 is 12983152/30.

LCM(7696/120, 3374/2430) = 12983152/30

LCM of 7696/120, 3374/2430

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 7696/120,3374/2430

Given numbers are 7696/120,3374/2430

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 7696,3374

Least Common Multiple of Numerators i.e. LCM of 7696,3374 is 12983152.

GCF of Denominators means GCF of 120,2430 as per the given fractions.

GCF of 120,2430 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7696,3374

LCM of Fractions 7696/120,3374/2430 is 12983152/30

2 7696, 3374
3848, 1687

∴ So the LCM of the given numbers is 2 x 3848 x 1687 = 12983152

Least Common Multiple of 7696,3374 with GCF Formula

Least Common Multiple of 7696,3374 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 7696,3374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7696,3374) = 2

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

GCF(7696,3374) x common factors =2 x 1 = 2

LCM(7696,3374) = ( 7696 × 3374 ) / 2

LCM(7696,3374) = 25966304 / 2

LCM(7696,3374) = 12983152


Lets's calculate GCF of 120,2430

2 120, 2430
3 60, 1215
5 20, 405
4, 81

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12983152/30

Therefore the LCM of Fractions 7696/120,3374/2430 is 12983152/30

Greatest Common Factor of 120,2430 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,2430 By Matching Biggest Common Factor Method

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

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors 120,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 120,2430 is 30.


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 7696/120, 3374/2430

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 7696/120, 3374/2430?

Answer: LCM of Numerators as per given numbers 7696/120, 3374/2430 is

LCM of Numerators i.e. for 7696,3374 is 12983152

GCF of denominators i.e. for 120,2430 is 30.

Thus, LCM of Fractions is 12983152/30.Finally, LCM of Fractions for 7696/120, 3374/2430 is 12983152/30.