Least Common Multiple of 69/477, 9520/7758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/477, 9520/7758 quickly i.e. 656880/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/477, 9520/7758 is 656880/9.

LCM(69/477, 9520/7758) = 656880/9

LCM of 69/477, 9520/7758

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 69/477,9520/7758

Given numbers are 69/477,9520/7758

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 69,9520

Least Common Multiple of Numerators i.e. LCM of 69,9520 is 656880.

GCF of Denominators means GCF of 477,7758 as per the given fractions.

GCF of 477,7758 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,9520

LCM of Fractions 69/477,9520/7758 is 656880/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 656880

Least Common Multiple of 69,9520 with GCF Formula

Least Common Multiple of 69,9520 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 69,9520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,9520) = 1

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

GCF(69,9520) x common factors =1 x 1 = 1

LCM(69,9520) = ( 69 × 9520 ) / 1

LCM(69,9520) = 656880 / 1

LCM(69,9520) = 656880


Lets's calculate GCF of 477,7758

3 477, 7758
3 159, 2586
53, 862

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 656880/9

Therefore the LCM of Fractions 69/477,9520/7758 is 656880/9

Greatest Common Factor of 477,7758 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,7758 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 7758

List of positive integer factors of 7758 that divides 7758 without a remainder.

1,2,3,6,9,18,431,862,1293,2586,3879,7758

Greatest Common Factor

We found the factors 477,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 477,7758 is 9.


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 69/477, 9520/7758

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 69/477, 9520/7758?

Answer: LCM of Numerators as per given numbers 69/477, 9520/7758 is

LCM of Numerators i.e. for 69,9520 is 656880

GCF of denominators i.e. for 477,7758 is 9.

Thus, LCM of Fractions is 656880/9.Finally, LCM of Fractions for 69/477, 9520/7758 is 656880/9.