Least Common Multiple of 5462/336, 6138/4118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5462/336, 6138/4118 quickly i.e. 8381439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5462/336, 6138/4118 is 8381439.

LCM(5462/336, 6138/4118) = 8381439

LCM of 5462/336, 6138/4118

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 5462/336,6138/4118

Given numbers are 5462/336,6138/4118

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 5462,6138

Least Common Multiple of Numerators i.e. LCM of 5462,6138 is 16762878.

GCF of Denominators means GCF of 336,4118 as per the given fractions.

GCF of 336,4118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5462,6138

LCM of Fractions 5462/336,6138/4118 is 8381439

2 5462, 6138
2731, 3069

∴ So the LCM of the given numbers is 2 x 2731 x 3069 = 16762878

Least Common Multiple of 5462,6138 with GCF Formula

Least Common Multiple of 5462,6138 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 5462,6138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5462,6138) = 2

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

GCF(5462,6138) x common factors =2 x 1 = 2

LCM(5462,6138) = ( 5462 × 6138 ) / 2

LCM(5462,6138) = 33525756 / 2

LCM(5462,6138) = 16762878


Lets's calculate GCF of 336,4118

2 336, 4118
168, 2059

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16762878/2

Therefore the LCM of Fractions 5462/336,6138/4118 is 8381439

Greatest Common Factor of 336,4118 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,4118 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1,2,29,58,71,142,2059,4118

Greatest Common Factor

We found the factors 336,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 336,4118 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 5462/336, 6138/4118

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 5462/336, 6138/4118?

Answer: LCM of Numerators as per given numbers 5462/336, 6138/4118 is

LCM of Numerators i.e. for 5462,6138 is 16762878

GCF of denominators i.e. for 336,4118 is 2.

Thus, LCM of Fractions is 8381439.Finally, LCM of Fractions for 5462/336, 6138/4118 is 8381439.