Least Common Multiple of 4404/677, 7173/4725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4404/677, 7173/4725 quickly i.e. 10529964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4404/677, 7173/4725 is 10529964.

LCM(4404/677, 7173/4725) = 10529964

LCM of 4404/677, 7173/4725

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 4404/677,7173/4725

Given numbers are 4404/677,7173/4725

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 4404,7173

Least Common Multiple of Numerators i.e. LCM of 4404,7173 is 10529964.

GCF of Denominators means GCF of 677,4725 as per the given fractions.

GCF of 677,4725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4404,7173

LCM of Fractions 4404/677,7173/4725 is 10529964

3 4404, 7173
1468, 2391

∴ So the LCM of the given numbers is 3 x 1468 x 2391 = 10529964

Least Common Multiple of 4404,7173 with GCF Formula

Least Common Multiple of 4404,7173 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 4404,7173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4404,7173) = 3

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

GCF(4404,7173) x common factors =3 x 1 = 3

LCM(4404,7173) = ( 4404 × 7173 ) / 3

LCM(4404,7173) = 31589892 / 3

LCM(4404,7173) = 10529964


Lets's calculate GCF of 677,4725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10529964/1

Therefore the LCM of Fractions 4404/677,7173/4725 is 10529964

Greatest Common Factor of 677,4725 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,4725 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725

Greatest Common Factor

We found the factors 677,4725 . The biggest common factor number is the GCF number.
So the greatest common factor 677,4725 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4404/677, 7173/4725

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 4404/677, 7173/4725?

Answer: LCM of Numerators as per given numbers 4404/677, 7173/4725 is

LCM of Numerators i.e. for 4404,7173 is 10529964

GCF of denominators i.e. for 677,4725 is 1.

Thus, LCM of Fractions is 10529964.Finally, LCM of Fractions for 4404/677, 7173/4725 is 10529964.