Least Common Multiple of 61/118, 7282/2534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/118, 7282/2534 quickly i.e. 222101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/118, 7282/2534 is 222101.

LCM(61/118, 7282/2534) = 222101

LCM of 61/118, 7282/2534

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 61/118,7282/2534

Given numbers are 61/118,7282/2534

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 61,7282

Least Common Multiple of Numerators i.e. LCM of 61,7282 is 444202.

GCF of Denominators means GCF of 118,2534 as per the given fractions.

GCF of 118,2534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,7282

LCM of Fractions 61/118,7282/2534 is 222101

Given numbers has no common factors except 1. So, there LCM is their product i.e 444202

Least Common Multiple of 61,7282 with GCF Formula

Least Common Multiple of 61,7282 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 61,7282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,7282) = 1

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

GCF(61,7282) x common factors =1 x 1 = 1

LCM(61,7282) = ( 61 × 7282 ) / 1

LCM(61,7282) = 444202 / 1

LCM(61,7282) = 444202


Lets's calculate GCF of 118,2534

2 118, 2534
59, 1267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444202/2

Therefore the LCM of Fractions 61/118,7282/2534 is 222101

Greatest Common Factor of 118,2534 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,2534 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1,2,7,14,181,362,1267,2534

Greatest Common Factor

We found the factors 118,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 118,2534 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/118, 7282/2534

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 61/118, 7282/2534?

Answer: LCM of Numerators as per given numbers 61/118, 7282/2534 is

LCM of Numerators i.e. for 61,7282 is 444202

GCF of denominators i.e. for 118,2534 is 2.

Thus, LCM of Fractions is 222101.Finally, LCM of Fractions for 61/118, 7282/2534 is 222101.