Least Common Multiple of 827/577, 679/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/577, 679/121 quickly i.e. 561533 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/577, 679/121 is 561533.

LCM(827/577, 679/121) = 561533

LCM of 827/577, 679/121

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 827/577,679/121

Given numbers are 827/577,679/121

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 827,679

Least Common Multiple of Numerators i.e. LCM of 827,679 is 561533.

GCF of Denominators means GCF of 577,121 as per the given fractions.

GCF of 577,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,679

LCM of Fractions 827/577,679/121 is 561533

Given numbers has no common factors except 1. So, there LCM is their product i.e 561533

Least Common Multiple of 827,679 with GCF Formula

Least Common Multiple of 827,679 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 827,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,679) = 1

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

GCF(827,679) x common factors =1 x 1 = 1

LCM(827,679) = ( 827 × 679 ) / 1

LCM(827,679) = 561533 / 1

LCM(827,679) = 561533


Lets's calculate GCF of 577,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561533/1

Therefore the LCM of Fractions 827/577,679/121 is 561533

Greatest Common Factor of 577,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,121 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 577,121 . The biggest common factor number is the GCF number.
So the greatest common factor 577,121 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 827/577, 679/121

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 827/577, 679/121?

Answer: LCM of Numerators as per given numbers 827/577, 679/121 is

LCM of Numerators i.e. for 827,679 is 561533

GCF of denominators i.e. for 577,121 is 1.

Thus, LCM of Fractions is 561533.Finally, LCM of Fractions for 827/577, 679/121 is 561533.