Least Common Multiple of 7746/661, 7417/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7746/661, 7417/489 quickly i.e. 57452082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7746/661, 7417/489 is 57452082.

LCM(7746/661, 7417/489) = 57452082

LCM of 7746/661, 7417/489

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 7746/661,7417/489

Given numbers are 7746/661,7417/489

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 7746,7417

Least Common Multiple of Numerators i.e. LCM of 7746,7417 is 57452082.

GCF of Denominators means GCF of 661,489 as per the given fractions.

GCF of 661,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7746,7417

LCM of Fractions 7746/661,7417/489 is 57452082

Given numbers has no common factors except 1. So, there LCM is their product i.e 57452082

Least Common Multiple of 7746,7417 with GCF Formula

Least Common Multiple of 7746,7417 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 7746,7417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7746,7417) = 1

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

GCF(7746,7417) x common factors =1 x 1 = 1

LCM(7746,7417) = ( 7746 × 7417 ) / 1

LCM(7746,7417) = 57452082 / 1

LCM(7746,7417) = 57452082


Lets's calculate GCF of 661,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57452082/1

Therefore the LCM of Fractions 7746/661,7417/489 is 57452082

Greatest Common Factor of 661,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,489 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 661,489 . The biggest common factor number is the GCF number.
So the greatest common factor 661,489 is 1.


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 7746/661, 7417/489

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 7746/661, 7417/489?

Answer: LCM of Numerators as per given numbers 7746/661, 7417/489 is

LCM of Numerators i.e. for 7746,7417 is 57452082

GCF of denominators i.e. for 661,489 is 1.

Thus, LCM of Fractions is 57452082.Finally, LCM of Fractions for 7746/661, 7417/489 is 57452082.