Least Common Multiple of 5660/727, 3085/7331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5660/727, 3085/7331 quickly i.e. 3492220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5660/727, 3085/7331 is 3492220.

LCM(5660/727, 3085/7331) = 3492220

LCM of 5660/727, 3085/7331

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 5660/727,3085/7331

Given numbers are 5660/727,3085/7331

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 5660,3085

Least Common Multiple of Numerators i.e. LCM of 5660,3085 is 3492220.

GCF of Denominators means GCF of 727,7331 as per the given fractions.

GCF of 727,7331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5660,3085

LCM of Fractions 5660/727,3085/7331 is 3492220

5 5660, 3085
1132, 617

∴ So the LCM of the given numbers is 5 x 1132 x 617 = 3492220

Least Common Multiple of 5660,3085 with GCF Formula

Least Common Multiple of 5660,3085 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 5660,3085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5660,3085) = 5

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

GCF(5660,3085) x common factors =5 x 1 = 5

LCM(5660,3085) = ( 5660 × 3085 ) / 5

LCM(5660,3085) = 17461100 / 5

LCM(5660,3085) = 3492220


Lets's calculate GCF of 727,7331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3492220/1

Therefore the LCM of Fractions 5660/727,3085/7331 is 3492220

Greatest Common Factor of 727,7331 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,7331 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 7331

List of positive integer factors of 7331 that divides 7331 without a remainder.

1,7331

Greatest Common Factor

We found the factors 727,7331 . The biggest common factor number is the GCF number.
So the greatest common factor 727,7331 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5660/727, 3085/7331

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 5660/727, 3085/7331?

Answer: LCM of Numerators as per given numbers 5660/727, 3085/7331 is

LCM of Numerators i.e. for 5660,3085 is 3492220

GCF of denominators i.e. for 727,7331 is 1.

Thus, LCM of Fractions is 3492220.Finally, LCM of Fractions for 5660/727, 3085/7331 is 3492220.