Least Common Multiple of 6468/67, 9110/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6468/67, 9110/877 quickly i.e. 29461740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6468/67, 9110/877 is 29461740.

LCM(6468/67, 9110/877) = 29461740

LCM of 6468/67, 9110/877

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 6468/67,9110/877

Given numbers are 6468/67,9110/877

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 6468,9110

Least Common Multiple of Numerators i.e. LCM of 6468,9110 is 29461740.

GCF of Denominators means GCF of 67,877 as per the given fractions.

GCF of 67,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6468,9110

LCM of Fractions 6468/67,9110/877 is 29461740

2 6468, 9110
3234, 4555

∴ So the LCM of the given numbers is 2 x 3234 x 4555 = 29461740

Least Common Multiple of 6468,9110 with GCF Formula

Least Common Multiple of 6468,9110 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 6468,9110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6468,9110) = 2

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

GCF(6468,9110) x common factors =2 x 1 = 2

LCM(6468,9110) = ( 6468 × 9110 ) / 2

LCM(6468,9110) = 58923480 / 2

LCM(6468,9110) = 29461740


Lets's calculate GCF of 67,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29461740/1

Therefore the LCM of Fractions 6468/67,9110/877 is 29461740

Greatest Common Factor of 67,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,877 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 67,877 . The biggest common factor number is the GCF number.
So the greatest common factor 67,877 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6468/67, 9110/877

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 6468/67, 9110/877?

Answer: LCM of Numerators as per given numbers 6468/67, 9110/877 is

LCM of Numerators i.e. for 6468,9110 is 29461740

GCF of denominators i.e. for 67,877 is 1.

Thus, LCM of Fractions is 29461740.Finally, LCM of Fractions for 6468/67, 9110/877 is 29461740.