Least Common Multiple of 577/578, 7675/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/578, 7675/989 quickly i.e. 4428475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/578, 7675/989 is 4428475.

LCM(577/578, 7675/989) = 4428475

LCM of 577/578, 7675/989

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 577/578,7675/989

Given numbers are 577/578,7675/989

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 577,7675

Least Common Multiple of Numerators i.e. LCM of 577,7675 is 4428475.

GCF of Denominators means GCF of 578,989 as per the given fractions.

GCF of 578,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,7675

LCM of Fractions 577/578,7675/989 is 4428475

Given numbers has no common factors except 1. So, there LCM is their product i.e 4428475

Least Common Multiple of 577,7675 with GCF Formula

Least Common Multiple of 577,7675 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 577,7675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,7675) = 1

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

GCF(577,7675) x common factors =1 x 1 = 1

LCM(577,7675) = ( 577 × 7675 ) / 1

LCM(577,7675) = 4428475 / 1

LCM(577,7675) = 4428475


Lets's calculate GCF of 578,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4428475/1

Therefore the LCM of Fractions 577/578,7675/989 is 4428475

Greatest Common Factor of 578,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,989 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 578,989 . The biggest common factor number is the GCF number.
So the greatest common factor 578,989 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 577/578, 7675/989

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 577/578, 7675/989?

Answer: LCM of Numerators as per given numbers 577/578, 7675/989 is

LCM of Numerators i.e. for 577,7675 is 4428475

GCF of denominators i.e. for 578,989 is 1.

Thus, LCM of Fractions is 4428475.Finally, LCM of Fractions for 577/578, 7675/989 is 4428475.