Least Common Multiple of 988/715, 2755/2821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/715, 2755/2821 quickly i.e. 11020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/715, 2755/2821 is 11020.

LCM(988/715, 2755/2821) = 11020

LCM of 988/715, 2755/2821

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 988/715,2755/2821

Given numbers are 988/715,2755/2821

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 988,2755

Least Common Multiple of Numerators i.e. LCM of 988,2755 is 143260.

GCF of Denominators means GCF of 715,2821 as per the given fractions.

GCF of 715,2821 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,2755

LCM of Fractions 988/715,2755/2821 is 11020

19 988, 2755
52, 145

∴ So the LCM of the given numbers is 19 x 52 x 145 = 143260

Least Common Multiple of 988,2755 with GCF Formula

Least Common Multiple of 988,2755 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 988,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,2755) = 19

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

GCF(988,2755) x common factors =19 x 1 = 19

LCM(988,2755) = ( 988 × 2755 ) / 19

LCM(988,2755) = 2721940 / 19

LCM(988,2755) = 143260


Lets's calculate GCF of 715,2821

13 715, 2821
55, 217

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143260/13

Therefore the LCM of Fractions 988/715,2755/2821 is 11020

Greatest Common Factor of 715,2821 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,2821 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 2821

List of positive integer factors of 2821 that divides 2821 without a remainder.

1,7,13,31,91,217,403,2821

Greatest Common Factor

We found the factors 715,2821 . The biggest common factor number is the GCF number.
So the greatest common factor 715,2821 is 13.


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 988/715, 2755/2821

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 988/715, 2755/2821?

Answer: LCM of Numerators as per given numbers 988/715, 2755/2821 is

LCM of Numerators i.e. for 988,2755 is 143260

GCF of denominators i.e. for 715,2821 is 13.

Thus, LCM of Fractions is 11020.Finally, LCM of Fractions for 988/715, 2755/2821 is 11020.