Least Common Multiple of 4277/111, 6810/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4277/111, 6810/267 quickly i.e. 9708790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4277/111, 6810/267 is 9708790.

LCM(4277/111, 6810/267) = 9708790

LCM of 4277/111, 6810/267

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 4277/111,6810/267

Given numbers are 4277/111,6810/267

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 4277,6810

Least Common Multiple of Numerators i.e. LCM of 4277,6810 is 29126370.

GCF of Denominators means GCF of 111,267 as per the given fractions.

GCF of 111,267 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4277,6810

LCM of Fractions 4277/111,6810/267 is 9708790

Given numbers has no common factors except 1. So, there LCM is their product i.e 29126370

Least Common Multiple of 4277,6810 with GCF Formula

Least Common Multiple of 4277,6810 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 4277,6810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4277,6810) = 1

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

GCF(4277,6810) x common factors =1 x 1 = 1

LCM(4277,6810) = ( 4277 × 6810 ) / 1

LCM(4277,6810) = 29126370 / 1

LCM(4277,6810) = 29126370


Lets's calculate GCF of 111,267

3 111, 267
37, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29126370/3

Therefore the LCM of Fractions 4277/111,6810/267 is 9708790

Greatest Common Factor of 111,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,267 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 111,267 . The biggest common factor number is the GCF number.
So the greatest common factor 111,267 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 4277/111, 6810/267

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 4277/111, 6810/267?

Answer: LCM of Numerators as per given numbers 4277/111, 6810/267 is

LCM of Numerators i.e. for 4277,6810 is 29126370

GCF of denominators i.e. for 111,267 is 3.

Thus, LCM of Fractions is 9708790.Finally, LCM of Fractions for 4277/111, 6810/267 is 9708790.