Least Common Multiple of 54/711, 98/569, 910/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/711, 98/569, 910/993 quickly i.e. 171990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/711, 98/569, 910/993 is 171990.

LCM(54/711, 98/569, 910/993) = 171990

LCM of 54/711, 98/569, 910/993

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 54/711,98/569,910/993

Given numbers are 54/711,98/569,910/993

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 54,98,910

Least Common Multiple of Numerators i.e. LCM of 54,98,910 is 171990.

GCF of Denominators means GCF of 711,569,993 as per the given fractions.

GCF of 711,569,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,98,910

LCM of Fractions 54/711,98/569,910/993 is 171990

2 54, 98, 910
7 27, 49, 455
27, 7, 65

∴ So the LCM of the given numbers is 2 x 7 x 27 x 7 x 65 = 171990

Least Common Multiple of 54,98,910 with GCF Formula

Least Common Multiple of 54,98,910 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 54,98,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,98,910) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(54,98,910) x common factors =2 x 14 = 28

LCM(54,98,910) = ( 54 × 98 × 910 ) / 28

LCM(54,98,910) = 4815720 / 28

LCM(54,98,910) = 171990


Lets's calculate GCF of 711,569,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171990/1

Therefore the LCM of Fractions 54/711,98/569,910/993 is 171990

Greatest Common Factor of 711,569,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,569,993 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 711,569,993 . The biggest common factor number is the GCF number.
So the greatest common factor 711,569,993 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 54/711, 98/569, 910/993

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 54/711, 98/569, 910/993?

Answer: LCM of Numerators as per given numbers 54/711, 98/569, 910/993 is

LCM of Numerators i.e. for 54,98,910 is 171990

GCF of denominators i.e. for 711,569,993 is 1.

Thus, LCM of Fractions is 171990.Finally, LCM of Fractions for 54/711, 98/569, 910/993 is 171990.