Least Common Multiple of 54/171, 68/482, 709/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/171, 68/482, 709/321 quickly i.e. 1301724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/171, 68/482, 709/321 is 1301724.

LCM(54/171, 68/482, 709/321) = 1301724

LCM of 54/171, 68/482, 709/321

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 54/171,68/482,709/321

Given numbers are 54/171,68/482,709/321

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 54,68,709

Least Common Multiple of Numerators i.e. LCM of 54,68,709 is 1301724.

GCF of Denominators means GCF of 171,482,321 as per the given fractions.

GCF of 171,482,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,68,709

LCM of Fractions 54/171,68/482,709/321 is 1301724

2 54, 68, 709
27, 34, 709

∴ So the LCM of the given numbers is 2 x 27 x 34 x 709 = 1301724

Least Common Multiple of 54,68,709 with GCF Formula

Least Common Multiple of 54,68,709 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 54,68,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,68,709) = 1

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

GCF(54,68,709) x common factors =1 x 2 = 2

LCM(54,68,709) = ( 54 × 68 × 709 ) / 2

LCM(54,68,709) = 2603448 / 2

LCM(54,68,709) = 1301724


Lets's calculate GCF of 171,482,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1301724/1

Therefore the LCM of Fractions 54/171,68/482,709/321 is 1301724

Greatest Common Factor of 171,482,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,482,321 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 171,482,321 . The biggest common factor number is the GCF number.
So the greatest common factor 171,482,321 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 54/171, 68/482, 709/321

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 54/171, 68/482, 709/321?

Answer: LCM of Numerators as per given numbers 54/171, 68/482, 709/321 is

LCM of Numerators i.e. for 54,68,709 is 1301724

GCF of denominators i.e. for 171,482,321 is 1.

Thus, LCM of Fractions is 1301724.Finally, LCM of Fractions for 54/171, 68/482, 709/321 is 1301724.