Least Common Multiple of 5448/584, 4959/9140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5448/584, 4959/9140 quickly i.e. 2251386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5448/584, 4959/9140 is 2251386.

LCM(5448/584, 4959/9140) = 2251386

LCM of 5448/584, 4959/9140

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 5448/584,4959/9140

Given numbers are 5448/584,4959/9140

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 5448,4959

Least Common Multiple of Numerators i.e. LCM of 5448,4959 is 9005544.

GCF of Denominators means GCF of 584,9140 as per the given fractions.

GCF of 584,9140 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5448,4959

LCM of Fractions 5448/584,4959/9140 is 2251386

3 5448, 4959
1816, 1653

∴ So the LCM of the given numbers is 3 x 1816 x 1653 = 9005544

Least Common Multiple of 5448,4959 with GCF Formula

Least Common Multiple of 5448,4959 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 5448,4959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5448,4959) = 3

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

GCF(5448,4959) x common factors =3 x 1 = 3

LCM(5448,4959) = ( 5448 × 4959 ) / 3

LCM(5448,4959) = 27016632 / 3

LCM(5448,4959) = 9005544


Lets's calculate GCF of 584,9140

2 584, 9140
2 292, 4570
146, 2285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9005544/4

Therefore the LCM of Fractions 5448/584,4959/9140 is 2251386

Greatest Common Factor of 584,9140 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,9140 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1,2,4,5,10,20,457,914,1828,2285,4570,9140

Greatest Common Factor

We found the factors 584,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 584,9140 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 5448/584, 4959/9140

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 5448/584, 4959/9140?

Answer: LCM of Numerators as per given numbers 5448/584, 4959/9140 is

LCM of Numerators i.e. for 5448,4959 is 9005544

GCF of denominators i.e. for 584,9140 is 4.

Thus, LCM of Fractions is 2251386.Finally, LCM of Fractions for 5448/584, 4959/9140 is 2251386.