Least Common Multiple of 54/176, 41/220, 501/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/176, 41/220, 501/968 quickly i.e. 369738/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/176, 41/220, 501/968 is 369738/44.

LCM(54/176, 41/220, 501/968) = 369738/44

LCM of 54/176, 41/220, 501/968

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 54/176,41/220,501/968

Given numbers are 54/176,41/220,501/968

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 54,41,501

Least Common Multiple of Numerators i.e. LCM of 54,41,501 is 369738.

GCF of Denominators means GCF of 176,220,968 as per the given fractions.

GCF of 176,220,968 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,41,501

LCM of Fractions 54/176,41/220,501/968 is 369738/44

3 54, 41, 501
18, 41, 167

∴ So the LCM of the given numbers is 3 x 18 x 41 x 167 = 369738

Least Common Multiple of 54,41,501 with GCF Formula

Least Common Multiple of 54,41,501 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 54,41,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,41,501) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,41,501) x common factors =1 x 3 = 3

LCM(54,41,501) = ( 54 × 41 × 501 ) / 3

LCM(54,41,501) = 1109214 / 3

LCM(54,41,501) = 369738


Lets's calculate GCF of 176,220,968

2 176, 220, 968
2 88, 110, 484
11 44, 55, 242
4, 5, 22

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369738/44

Therefore the LCM of Fractions 54/176,41/220,501/968 is 369738/44

Greatest Common Factor of 176,220,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,220,968 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 176,220,968 . The biggest common factor number is the GCF number.
So the greatest common factor 176,220,968 is 44.


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 54/176, 41/220, 501/968

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 54/176, 41/220, 501/968?

Answer: LCM of Numerators as per given numbers 54/176, 41/220, 501/968 is

LCM of Numerators i.e. for 54,41,501 is 369738

GCF of denominators i.e. for 176,220,968 is 44.

Thus, LCM of Fractions is 369738/44.Finally, LCM of Fractions for 54/176, 41/220, 501/968 is 369738/44.