Least Common Multiple of 1367/512, 7276/2179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1367/512, 7276/2179 quickly i.e. 9946292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1367/512, 7276/2179 is 9946292.

LCM(1367/512, 7276/2179) = 9946292

LCM of 1367/512, 7276/2179

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 1367/512,7276/2179

Given numbers are 1367/512,7276/2179

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 1367,7276

Least Common Multiple of Numerators i.e. LCM of 1367,7276 is 9946292.

GCF of Denominators means GCF of 512,2179 as per the given fractions.

GCF of 512,2179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1367,7276

LCM of Fractions 1367/512,7276/2179 is 9946292

Given numbers has no common factors except 1. So, there LCM is their product i.e 9946292

Least Common Multiple of 1367,7276 with GCF Formula

Least Common Multiple of 1367,7276 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 1367,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1367,7276) = 1

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

GCF(1367,7276) x common factors =1 x 1 = 1

LCM(1367,7276) = ( 1367 × 7276 ) / 1

LCM(1367,7276) = 9946292 / 1

LCM(1367,7276) = 9946292


Lets's calculate GCF of 512,2179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9946292/1

Therefore the LCM of Fractions 1367/512,7276/2179 is 9946292

Greatest Common Factor of 512,2179 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,2179 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 2179

List of positive integer factors of 2179 that divides 2179 without a remainder.

1,2179

Greatest Common Factor

We found the factors 512,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 512,2179 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1367/512, 7276/2179

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 1367/512, 7276/2179?

Answer: LCM of Numerators as per given numbers 1367/512, 7276/2179 is

LCM of Numerators i.e. for 1367,7276 is 9946292

GCF of denominators i.e. for 512,2179 is 1.

Thus, LCM of Fractions is 9946292.Finally, LCM of Fractions for 1367/512, 7276/2179 is 9946292.