Least Common Multiple of 54/54, 274/71, 679/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/54, 274/71, 679/889 quickly i.e. 5023242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/54, 274/71, 679/889 is 5023242.

LCM(54/54, 274/71, 679/889) = 5023242

LCM of 54/54, 274/71, 679/889

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 54/54,274/71,679/889

Given numbers are 54/54,274/71,679/889

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 54,274,679

Least Common Multiple of Numerators i.e. LCM of 54,274,679 is 5023242.

GCF of Denominators means GCF of 54,71,889 as per the given fractions.

GCF of 54,71,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,274,679

LCM of Fractions 54/54,274/71,679/889 is 5023242

2 54, 274, 679
27, 137, 679

∴ So the LCM of the given numbers is 2 x 27 x 137 x 679 = 5023242

Least Common Multiple of 54,274,679 with GCF Formula

Least Common Multiple of 54,274,679 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 54,274,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,274,679) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,274,679) x common factors =1 x 2 = 2

LCM(54,274,679) = ( 54 × 274 × 679 ) / 2

LCM(54,274,679) = 10046484 / 2

LCM(54,274,679) = 5023242


Lets's calculate GCF of 54,71,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5023242/1

Therefore the LCM of Fractions 54/54,274/71,679/889 is 5023242

Greatest Common Factor of 54,71,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,71,889 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 54,71,889 . The biggest common factor number is the GCF number.
So the greatest common factor 54,71,889 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 54/54, 274/71, 679/889

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 54/54, 274/71, 679/889?

Answer: LCM of Numerators as per given numbers 54/54, 274/71, 679/889 is

LCM of Numerators i.e. for 54,274,679 is 5023242

GCF of denominators i.e. for 54,71,889 is 1.

Thus, LCM of Fractions is 5023242.Finally, LCM of Fractions for 54/54, 274/71, 679/889 is 5023242.