Least Common Multiple of 4974/177, 7671/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4974/177, 7671/726 quickly i.e. 4239506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4974/177, 7671/726 is 4239506.

LCM(4974/177, 7671/726) = 4239506

LCM of 4974/177, 7671/726

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 4974/177,7671/726

Given numbers are 4974/177,7671/726

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 4974,7671

Least Common Multiple of Numerators i.e. LCM of 4974,7671 is 12718518.

GCF of Denominators means GCF of 177,726 as per the given fractions.

GCF of 177,726 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4974,7671

LCM of Fractions 4974/177,7671/726 is 4239506

3 4974, 7671
1658, 2557

∴ So the LCM of the given numbers is 3 x 1658 x 2557 = 12718518

Least Common Multiple of 4974,7671 with GCF Formula

Least Common Multiple of 4974,7671 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 4974,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4974,7671) = 3

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

GCF(4974,7671) x common factors =3 x 1 = 3

LCM(4974,7671) = ( 4974 × 7671 ) / 3

LCM(4974,7671) = 38155554 / 3

LCM(4974,7671) = 12718518


Lets's calculate GCF of 177,726

3 177, 726
59, 242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12718518/3

Therefore the LCM of Fractions 4974/177,7671/726 is 4239506

Greatest Common Factor of 177,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,726 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 177,726 . The biggest common factor number is the GCF number.
So the greatest common factor 177,726 is 3.


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 4974/177, 7671/726

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 4974/177, 7671/726?

Answer: LCM of Numerators as per given numbers 4974/177, 7671/726 is

LCM of Numerators i.e. for 4974,7671 is 12718518

GCF of denominators i.e. for 177,726 is 3.

Thus, LCM of Fractions is 4239506.Finally, LCM of Fractions for 4974/177, 7671/726 is 4239506.