Least Common Multiple of 548/137, 8106/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 548/137, 8106/842 quickly i.e. 2221044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/137, 8106/842 is 2221044.

LCM(548/137, 8106/842) = 2221044

LCM of 548/137, 8106/842

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 548/137,8106/842

Given numbers are 548/137,8106/842

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 548,8106

Least Common Multiple of Numerators i.e. LCM of 548,8106 is 2221044.

GCF of Denominators means GCF of 137,842 as per the given fractions.

GCF of 137,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,8106

LCM of Fractions 548/137,8106/842 is 2221044

2 548, 8106
274, 4053

∴ So the LCM of the given numbers is 2 x 274 x 4053 = 2221044

Least Common Multiple of 548,8106 with GCF Formula

Least Common Multiple of 548,8106 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 548,8106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,8106) = 2

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

GCF(548,8106) x common factors =2 x 1 = 2

LCM(548,8106) = ( 548 × 8106 ) / 2

LCM(548,8106) = 4442088 / 2

LCM(548,8106) = 2221044


Lets's calculate GCF of 137,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2221044/1

Therefore the LCM of Fractions 548/137,8106/842 is 2221044

Greatest Common Factor of 137,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,842 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 137,842 . The biggest common factor number is the GCF number.
So the greatest common factor 137,842 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 548/137, 8106/842

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 548/137, 8106/842?

Answer: LCM of Numerators as per given numbers 548/137, 8106/842 is

LCM of Numerators i.e. for 548,8106 is 2221044

GCF of denominators i.e. for 137,842 is 1.

Thus, LCM of Fractions is 2221044.Finally, LCM of Fractions for 548/137, 8106/842 is 2221044.