Least Common Multiple of 747/15, 220/2792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 747/15, 220/2792 quickly i.e. 164340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/15, 220/2792 is 164340.

LCM(747/15, 220/2792) = 164340

LCM of 747/15, 220/2792

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 747/15,220/2792

Given numbers are 747/15,220/2792

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 747,220

Least Common Multiple of Numerators i.e. LCM of 747,220 is 164340.

GCF of Denominators means GCF of 15,2792 as per the given fractions.

GCF of 15,2792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,220

LCM of Fractions 747/15,220/2792 is 164340

Given numbers has no common factors except 1. So, there LCM is their product i.e 164340

Least Common Multiple of 747,220 with GCF Formula

Least Common Multiple of 747,220 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 747,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,220) = 1

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

GCF(747,220) x common factors =1 x 1 = 1

LCM(747,220) = ( 747 × 220 ) / 1

LCM(747,220) = 164340 / 1

LCM(747,220) = 164340


Lets's calculate GCF of 15,2792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164340/1

Therefore the LCM of Fractions 747/15,220/2792 is 164340

Greatest Common Factor of 15,2792 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,2792 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 2792

List of positive integer factors of 2792 that divides 2792 without a remainder.

1,2,4,8,349,698,1396,2792

Greatest Common Factor

We found the factors 15,2792 . The biggest common factor number is the GCF number.
So the greatest common factor 15,2792 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 747/15, 220/2792

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 747/15, 220/2792?

Answer: LCM of Numerators as per given numbers 747/15, 220/2792 is

LCM of Numerators i.e. for 747,220 is 164340

GCF of denominators i.e. for 15,2792 is 1.

Thus, LCM of Fractions is 164340.Finally, LCM of Fractions for 747/15, 220/2792 is 164340.