Least Common Multiple of 339/93, 180/56, 214/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/93, 180/56, 214/261 quickly i.e. 2176380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/93, 180/56, 214/261 is 2176380.

LCM(339/93, 180/56, 214/261) = 2176380

LCM of 339/93, 180/56, 214/261

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 339/93,180/56,214/261

Given numbers are 339/93,180/56,214/261

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 339,180,214

Least Common Multiple of Numerators i.e. LCM of 339,180,214 is 2176380.

GCF of Denominators means GCF of 93,56,261 as per the given fractions.

GCF of 93,56,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,180,214

LCM of Fractions 339/93,180/56,214/261 is 2176380

2 339, 180, 214
3 339, 90, 107
113, 30, 107

∴ So the LCM of the given numbers is 2 x 3 x 113 x 30 x 107 = 2176380

Least Common Multiple of 339,180,214 with GCF Formula

Least Common Multiple of 339,180,214 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 339,180,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,180,214) = 1

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

GCF(339,180,214) x common factors =1 x 6 = 6

LCM(339,180,214) = ( 339 × 180 × 214 ) / 6

LCM(339,180,214) = 13058280 / 6

LCM(339,180,214) = 2176380


Lets's calculate GCF of 93,56,261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2176380/1

Therefore the LCM of Fractions 339/93,180/56,214/261 is 2176380

Greatest Common Factor of 93,56,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,56,261 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 93,56,261 . The biggest common factor number is the GCF number.
So the greatest common factor 93,56,261 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 339/93, 180/56, 214/261

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 339/93, 180/56, 214/261?

Answer: LCM of Numerators as per given numbers 339/93, 180/56, 214/261 is

LCM of Numerators i.e. for 339,180,214 is 2176380

GCF of denominators i.e. for 93,56,261 is 1.

Thus, LCM of Fractions is 2176380.Finally, LCM of Fractions for 339/93, 180/56, 214/261 is 2176380.