Least Common Multiple of 6727/632, 2643/8315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6727/632, 2643/8315 quickly i.e. 17779461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6727/632, 2643/8315 is 17779461.

LCM(6727/632, 2643/8315) = 17779461

LCM of 6727/632, 2643/8315

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 6727/632,2643/8315

Given numbers are 6727/632,2643/8315

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 6727,2643

Least Common Multiple of Numerators i.e. LCM of 6727,2643 is 17779461.

GCF of Denominators means GCF of 632,8315 as per the given fractions.

GCF of 632,8315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6727,2643

LCM of Fractions 6727/632,2643/8315 is 17779461

Given numbers has no common factors except 1. So, there LCM is their product i.e 17779461

Least Common Multiple of 6727,2643 with GCF Formula

Least Common Multiple of 6727,2643 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 6727,2643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6727,2643) = 1

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

GCF(6727,2643) x common factors =1 x 1 = 1

LCM(6727,2643) = ( 6727 × 2643 ) / 1

LCM(6727,2643) = 17779461 / 1

LCM(6727,2643) = 17779461


Lets's calculate GCF of 632,8315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17779461/1

Therefore the LCM of Fractions 6727/632,2643/8315 is 17779461

Greatest Common Factor of 632,8315 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,8315 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 8315

List of positive integer factors of 8315 that divides 8315 without a remainder.

1,5,1663,8315

Greatest Common Factor

We found the factors 632,8315 . The biggest common factor number is the GCF number.
So the greatest common factor 632,8315 is 1.


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 6727/632, 2643/8315

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 6727/632, 2643/8315?

Answer: LCM of Numerators as per given numbers 6727/632, 2643/8315 is

LCM of Numerators i.e. for 6727,2643 is 17779461

GCF of denominators i.e. for 632,8315 is 1.

Thus, LCM of Fractions is 17779461.Finally, LCM of Fractions for 6727/632, 2643/8315 is 17779461.