Least Common Multiple of 54/67, 21/48, 66/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/67, 21/48, 66/298 quickly i.e. 4158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/67, 21/48, 66/298 is 4158.

LCM(54/67, 21/48, 66/298) = 4158

LCM of 54/67, 21/48, 66/298

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 54/67,21/48,66/298

Given numbers are 54/67,21/48,66/298

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 54,21,66

Least Common Multiple of Numerators i.e. LCM of 54,21,66 is 4158.

GCF of Denominators means GCF of 67,48,298 as per the given fractions.

GCF of 67,48,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,21,66

LCM of Fractions 54/67,21/48,66/298 is 4158

2 54, 21, 66
3 27, 21, 33
9, 7, 11

∴ So the LCM of the given numbers is 2 x 3 x 9 x 7 x 11 = 4158

Least Common Multiple of 54,21,66 with GCF Formula

Least Common Multiple of 54,21,66 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 54,21,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,21,66) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,21,66) x common factors =3 x 6 = 18

LCM(54,21,66) = ( 54 × 21 × 66 ) / 18

LCM(54,21,66) = 74844 / 18

LCM(54,21,66) = 4158


Lets's calculate GCF of 67,48,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4158/1

Therefore the LCM of Fractions 54/67,21/48,66/298 is 4158

Greatest Common Factor of 67,48,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,48,298 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 67,48,298 . The biggest common factor number is the GCF number.
So the greatest common factor 67,48,298 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 54/67, 21/48, 66/298

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 54/67, 21/48, 66/298?

Answer: LCM of Numerators as per given numbers 54/67, 21/48, 66/298 is

LCM of Numerators i.e. for 54,21,66 is 4158

GCF of denominators i.e. for 67,48,298 is 1.

Thus, LCM of Fractions is 4158.Finally, LCM of Fractions for 54/67, 21/48, 66/298 is 4158.