Least Common Multiple of 6277/615, 2267/8769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6277/615, 2267/8769 quickly i.e. 14229959/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6277/615, 2267/8769 is 14229959/3.

LCM(6277/615, 2267/8769) = 14229959/3

LCM of 6277/615, 2267/8769

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 6277/615,2267/8769

Given numbers are 6277/615,2267/8769

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 6277,2267

Least Common Multiple of Numerators i.e. LCM of 6277,2267 is 14229959.

GCF of Denominators means GCF of 615,8769 as per the given fractions.

GCF of 615,8769 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6277,2267

LCM of Fractions 6277/615,2267/8769 is 14229959/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 14229959

Least Common Multiple of 6277,2267 with GCF Formula

Least Common Multiple of 6277,2267 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 6277,2267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6277,2267) = 1

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

GCF(6277,2267) x common factors =1 x 1 = 1

LCM(6277,2267) = ( 6277 × 2267 ) / 1

LCM(6277,2267) = 14229959 / 1

LCM(6277,2267) = 14229959


Lets's calculate GCF of 615,8769

3 615, 8769
205, 2923

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14229959/3

Therefore the LCM of Fractions 6277/615,2267/8769 is 14229959/3

Greatest Common Factor of 615,8769 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,8769 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1,3,37,79,111,237,2923,8769

Greatest Common Factor

We found the factors 615,8769 . The biggest common factor number is the GCF number.
So the greatest common factor 615,8769 is 3.


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 6277/615, 2267/8769

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 6277/615, 2267/8769?

Answer: LCM of Numerators as per given numbers 6277/615, 2267/8769 is

LCM of Numerators i.e. for 6277,2267 is 14229959

GCF of denominators i.e. for 615,8769 is 3.

Thus, LCM of Fractions is 14229959/3.Finally, LCM of Fractions for 6277/615, 2267/8769 is 14229959/3.