Least Common Multiple of 2958/288, 5764/7988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2958/288, 5764/7988 quickly i.e. 2131239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2958/288, 5764/7988 is 2131239.

LCM(2958/288, 5764/7988) = 2131239

LCM of 2958/288, 5764/7988

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 2958/288,5764/7988

Given numbers are 2958/288,5764/7988

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 2958,5764

Least Common Multiple of Numerators i.e. LCM of 2958,5764 is 8524956.

GCF of Denominators means GCF of 288,7988 as per the given fractions.

GCF of 288,7988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2958,5764

LCM of Fractions 2958/288,5764/7988 is 2131239

2 2958, 5764
1479, 2882

∴ So the LCM of the given numbers is 2 x 1479 x 2882 = 8524956

Least Common Multiple of 2958,5764 with GCF Formula

Least Common Multiple of 2958,5764 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 2958,5764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2958,5764) = 2

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

GCF(2958,5764) x common factors =2 x 1 = 2

LCM(2958,5764) = ( 2958 × 5764 ) / 2

LCM(2958,5764) = 17049912 / 2

LCM(2958,5764) = 8524956


Lets's calculate GCF of 288,7988

2 288, 7988
2 144, 3994
72, 1997

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8524956/4

Therefore the LCM of Fractions 2958/288,5764/7988 is 2131239

Greatest Common Factor of 288,7988 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,7988 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 7988

List of positive integer factors of 7988 that divides 7988 without a remainder.

1,2,4,1997,3994,7988

Greatest Common Factor

We found the factors 288,7988 . The biggest common factor number is the GCF number.
So the greatest common factor 288,7988 is 4.


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 2958/288, 5764/7988

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 2958/288, 5764/7988?

Answer: LCM of Numerators as per given numbers 2958/288, 5764/7988 is

LCM of Numerators i.e. for 2958,5764 is 8524956

GCF of denominators i.e. for 288,7988 is 4.

Thus, LCM of Fractions is 2131239.Finally, LCM of Fractions for 2958/288, 5764/7988 is 2131239.