Least Common Multiple of 35/788, 2716/7139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/788, 2716/7139 quickly i.e. 13580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/788, 2716/7139 is 13580.

LCM(35/788, 2716/7139) = 13580

LCM of 35/788, 2716/7139

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 35/788,2716/7139

Given numbers are 35/788,2716/7139

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 35,2716

Least Common Multiple of Numerators i.e. LCM of 35,2716 is 13580.

GCF of Denominators means GCF of 788,7139 as per the given fractions.

GCF of 788,7139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,2716

LCM of Fractions 35/788,2716/7139 is 13580

7 35, 2716
5, 388

∴ So the LCM of the given numbers is 7 x 5 x 388 = 13580

Least Common Multiple of 35,2716 with GCF Formula

Least Common Multiple of 35,2716 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 35,2716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,2716) = 7

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

GCF(35,2716) x common factors =7 x 1 = 7

LCM(35,2716) = ( 35 × 2716 ) / 7

LCM(35,2716) = 95060 / 7

LCM(35,2716) = 13580


Lets's calculate GCF of 788,7139

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13580/1

Therefore the LCM of Fractions 35/788,2716/7139 is 13580

Greatest Common Factor of 788,7139 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,7139 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Greatest Common Factor

We found the factors 788,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 788,7139 is 1.


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 35/788, 2716/7139

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 35/788, 2716/7139?

Answer: LCM of Numerators as per given numbers 35/788, 2716/7139 is

LCM of Numerators i.e. for 35,2716 is 13580

GCF of denominators i.e. for 788,7139 is 1.

Thus, LCM of Fractions is 13580.Finally, LCM of Fractions for 35/788, 2716/7139 is 13580.