Least Common Multiple of 2696/399, 7612/7861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2696/399, 7612/7861 quickly i.e. 5130488/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2696/399, 7612/7861 is 5130488/7.

LCM(2696/399, 7612/7861) = 5130488/7

LCM of 2696/399, 7612/7861

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 2696/399,7612/7861

Given numbers are 2696/399,7612/7861

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 2696,7612

Least Common Multiple of Numerators i.e. LCM of 2696,7612 is 5130488.

GCF of Denominators means GCF of 399,7861 as per the given fractions.

GCF of 399,7861 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2696,7612

LCM of Fractions 2696/399,7612/7861 is 5130488/7

2 2696, 7612
2 1348, 3806
674, 1903

∴ So the LCM of the given numbers is 2 x 2 x 674 x 1903 = 5130488

Least Common Multiple of 2696,7612 with GCF Formula

Least Common Multiple of 2696,7612 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 2696,7612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2696,7612) = 4

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

GCF(2696,7612) x common factors =4 x 1 = 4

LCM(2696,7612) = ( 2696 × 7612 ) / 4

LCM(2696,7612) = 20521952 / 4

LCM(2696,7612) = 5130488


Lets's calculate GCF of 399,7861

7 399, 7861
57, 1123

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5130488/7

Therefore the LCM of Fractions 2696/399,7612/7861 is 5130488/7

Greatest Common Factor of 399,7861 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,7861 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 7861

List of positive integer factors of 7861 that divides 7861 without a remainder.

1,7,1123,7861

Greatest Common Factor

We found the factors 399,7861 . The biggest common factor number is the GCF number.
So the greatest common factor 399,7861 is 7.


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 2696/399, 7612/7861

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 2696/399, 7612/7861?

Answer: LCM of Numerators as per given numbers 2696/399, 7612/7861 is

LCM of Numerators i.e. for 2696,7612 is 5130488

GCF of denominators i.e. for 399,7861 is 7.

Thus, LCM of Fractions is 5130488/7.Finally, LCM of Fractions for 2696/399, 7612/7861 is 5130488/7.