Least Common Multiple of 5523/901, 7794/2141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5523/901, 7794/2141 quickly i.e. 14348754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5523/901, 7794/2141 is 14348754.

LCM(5523/901, 7794/2141) = 14348754

LCM of 5523/901, 7794/2141

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 5523/901,7794/2141

Given numbers are 5523/901,7794/2141

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 5523,7794

Least Common Multiple of Numerators i.e. LCM of 5523,7794 is 14348754.

GCF of Denominators means GCF of 901,2141 as per the given fractions.

GCF of 901,2141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5523,7794

LCM of Fractions 5523/901,7794/2141 is 14348754

3 5523, 7794
1841, 2598

∴ So the LCM of the given numbers is 3 x 1841 x 2598 = 14348754

Least Common Multiple of 5523,7794 with GCF Formula

Least Common Multiple of 5523,7794 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 5523,7794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5523,7794) = 3

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

GCF(5523,7794) x common factors =3 x 1 = 3

LCM(5523,7794) = ( 5523 × 7794 ) / 3

LCM(5523,7794) = 43046262 / 3

LCM(5523,7794) = 14348754


Lets's calculate GCF of 901,2141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14348754/1

Therefore the LCM of Fractions 5523/901,7794/2141 is 14348754

Greatest Common Factor of 901,2141 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,2141 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 2141

List of positive integer factors of 2141 that divides 2141 without a remainder.

1,2141

Greatest Common Factor

We found the factors 901,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 901,2141 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5523/901, 7794/2141

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 5523/901, 7794/2141?

Answer: LCM of Numerators as per given numbers 5523/901, 7794/2141 is

LCM of Numerators i.e. for 5523,7794 is 14348754

GCF of denominators i.e. for 901,2141 is 1.

Thus, LCM of Fractions is 14348754.Finally, LCM of Fractions for 5523/901, 7794/2141 is 14348754.