Least Common Multiple of 726/20, 554/71, 889/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/20, 554/71, 889/33 quickly i.e. 178779678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/20, 554/71, 889/33 is 178779678.

LCM(726/20, 554/71, 889/33) = 178779678

LCM of 726/20, 554/71, 889/33

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 726/20,554/71,889/33

Given numbers are 726/20,554/71,889/33

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 726,554,889

Least Common Multiple of Numerators i.e. LCM of 726,554,889 is 178779678.

GCF of Denominators means GCF of 20,71,33 as per the given fractions.

GCF of 20,71,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,554,889

LCM of Fractions 726/20,554/71,889/33 is 178779678

2 726, 554, 889
363, 277, 889

∴ So the LCM of the given numbers is 2 x 363 x 277 x 889 = 178779678

Least Common Multiple of 726,554,889 with GCF Formula

Least Common Multiple of 726,554,889 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 726,554,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,554,889) = 1

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

GCF(726,554,889) x common factors =1 x 2 = 2

LCM(726,554,889) = ( 726 × 554 × 889 ) / 2

LCM(726,554,889) = 357559356 / 2

LCM(726,554,889) = 178779678


Lets's calculate GCF of 20,71,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178779678/1

Therefore the LCM of Fractions 726/20,554/71,889/33 is 178779678

Greatest Common Factor of 20,71,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,71,33 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 71

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

1,71

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 20,71,33 . The biggest common factor number is the GCF number.
So the greatest common factor 20,71,33 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 726/20, 554/71, 889/33

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 726/20, 554/71, 889/33?

Answer: LCM of Numerators as per given numbers 726/20, 554/71, 889/33 is

LCM of Numerators i.e. for 726,554,889 is 178779678

GCF of denominators i.e. for 20,71,33 is 1.

Thus, LCM of Fractions is 178779678.Finally, LCM of Fractions for 726/20, 554/71, 889/33 is 178779678.