Least Common Multiple of 8118/55, 8272/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8118/55, 8272/713 quickly i.e. 3052368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8118/55, 8272/713 is 3052368.

LCM(8118/55, 8272/713) = 3052368

LCM of 8118/55, 8272/713

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 8118/55,8272/713

Given numbers are 8118/55,8272/713

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 8118,8272

Least Common Multiple of Numerators i.e. LCM of 8118,8272 is 3052368.

GCF of Denominators means GCF of 55,713 as per the given fractions.

GCF of 55,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8118,8272

LCM of Fractions 8118/55,8272/713 is 3052368

2 8118, 8272
11 4059, 4136
369, 376

∴ So the LCM of the given numbers is 2 x 11 x 369 x 376 = 3052368

Least Common Multiple of 8118,8272 with GCF Formula

Least Common Multiple of 8118,8272 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 8118,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8118,8272) = 22

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

GCF(8118,8272) x common factors =22 x 1 = 22

LCM(8118,8272) = ( 8118 × 8272 ) / 22

LCM(8118,8272) = 67152096 / 22

LCM(8118,8272) = 3052368


Lets's calculate GCF of 55,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3052368/1

Therefore the LCM of Fractions 8118/55,8272/713 is 3052368

Greatest Common Factor of 55,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,713 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 55,713 . The biggest common factor number is the GCF number.
So the greatest common factor 55,713 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 8118/55, 8272/713

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 8118/55, 8272/713?

Answer: LCM of Numerators as per given numbers 8118/55, 8272/713 is

LCM of Numerators i.e. for 8118,8272 is 3052368

GCF of denominators i.e. for 55,713 is 1.

Thus, LCM of Fractions is 3052368.Finally, LCM of Fractions for 8118/55, 8272/713 is 3052368.