Least Common Multiple of 6101/468, 9902/3523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6101/468, 9902/3523 quickly i.e. 60412102/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6101/468, 9902/3523 is 60412102/13.

LCM(6101/468, 9902/3523) = 60412102/13

LCM of 6101/468, 9902/3523

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 6101/468,9902/3523

Given numbers are 6101/468,9902/3523

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 6101,9902

Least Common Multiple of Numerators i.e. LCM of 6101,9902 is 60412102.

GCF of Denominators means GCF of 468,3523 as per the given fractions.

GCF of 468,3523 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6101,9902

LCM of Fractions 6101/468,9902/3523 is 60412102/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 60412102

Least Common Multiple of 6101,9902 with GCF Formula

Least Common Multiple of 6101,9902 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 6101,9902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6101,9902) = 1

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

GCF(6101,9902) x common factors =1 x 1 = 1

LCM(6101,9902) = ( 6101 × 9902 ) / 1

LCM(6101,9902) = 60412102 / 1

LCM(6101,9902) = 60412102


Lets's calculate GCF of 468,3523

13 468, 3523
36, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60412102/13

Therefore the LCM of Fractions 6101/468,9902/3523 is 60412102/13

Greatest Common Factor of 468,3523 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,3523 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 3523

List of positive integer factors of 3523 that divides 3523 without a remainder.

1,13,271,3523

Greatest Common Factor

We found the factors 468,3523 . The biggest common factor number is the GCF number.
So the greatest common factor 468,3523 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 6101/468, 9902/3523

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 6101/468, 9902/3523?

Answer: LCM of Numerators as per given numbers 6101/468, 9902/3523 is

LCM of Numerators i.e. for 6101,9902 is 60412102

GCF of denominators i.e. for 468,3523 is 13.

Thus, LCM of Fractions is 60412102/13.Finally, LCM of Fractions for 6101/468, 9902/3523 is 60412102/13.