Least Common Multiple of 54/39, 60/419, 571/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/39, 60/419, 571/998 quickly i.e. 308340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/39, 60/419, 571/998 is 308340.

LCM(54/39, 60/419, 571/998) = 308340

LCM of 54/39, 60/419, 571/998

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 54/39,60/419,571/998

Given numbers are 54/39,60/419,571/998

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 54,60,571

Least Common Multiple of Numerators i.e. LCM of 54,60,571 is 308340.

GCF of Denominators means GCF of 39,419,998 as per the given fractions.

GCF of 39,419,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,60,571

LCM of Fractions 54/39,60/419,571/998 is 308340

2 54, 60, 571
3 27, 30, 571
9, 10, 571

∴ So the LCM of the given numbers is 2 x 3 x 9 x 10 x 571 = 308340

Least Common Multiple of 54,60,571 with GCF Formula

Least Common Multiple of 54,60,571 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 54,60,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,60,571) = 1

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

GCF(54,60,571) x common factors =1 x 6 = 6

LCM(54,60,571) = ( 54 × 60 × 571 ) / 6

LCM(54,60,571) = 1850040 / 6

LCM(54,60,571) = 308340


Lets's calculate GCF of 39,419,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308340/1

Therefore the LCM of Fractions 54/39,60/419,571/998 is 308340

Greatest Common Factor of 39,419,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,419,998 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 39,419,998 . The biggest common factor number is the GCF number.
So the greatest common factor 39,419,998 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 54/39, 60/419, 571/998

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 54/39, 60/419, 571/998?

Answer: LCM of Numerators as per given numbers 54/39, 60/419, 571/998 is

LCM of Numerators i.e. for 54,60,571 is 308340

GCF of denominators i.e. for 39,419,998 is 1.

Thus, LCM of Fractions is 308340.Finally, LCM of Fractions for 54/39, 60/419, 571/998 is 308340.