Least Common Multiple of 463/42, 261/4124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/42, 261/4124 quickly i.e. 120843/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/42, 261/4124 is 120843/2.

LCM(463/42, 261/4124) = 120843/2

LCM of 463/42, 261/4124

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 463/42,261/4124

Given numbers are 463/42,261/4124

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 463,261

Least Common Multiple of Numerators i.e. LCM of 463,261 is 120843.

GCF of Denominators means GCF of 42,4124 as per the given fractions.

GCF of 42,4124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,261

LCM of Fractions 463/42,261/4124 is 120843/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 120843

Least Common Multiple of 463,261 with GCF Formula

Least Common Multiple of 463,261 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 463,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,261) = 1

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

GCF(463,261) x common factors =1 x 1 = 1

LCM(463,261) = ( 463 × 261 ) / 1

LCM(463,261) = 120843 / 1

LCM(463,261) = 120843


Lets's calculate GCF of 42,4124

2 42, 4124
21, 2062

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120843/2

Therefore the LCM of Fractions 463/42,261/4124 is 120843/2

Greatest Common Factor of 42,4124 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4124 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 4124

List of positive integer factors of 4124 that divides 4124 without a remainder.

1,2,4,1031,2062,4124

Greatest Common Factor

We found the factors 42,4124 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4124 is 2.


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 463/42, 261/4124

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 463/42, 261/4124?

Answer: LCM of Numerators as per given numbers 463/42, 261/4124 is

LCM of Numerators i.e. for 463,261 is 120843

GCF of denominators i.e. for 42,4124 is 2.

Thus, LCM of Fractions is 120843/2.Finally, LCM of Fractions for 463/42, 261/4124 is 120843/2.