Least Common Multiple of 217/38, 120/14, 339/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/38, 120/14, 339/954 quickly i.e. 1471260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/38, 120/14, 339/954 is 1471260.

LCM(217/38, 120/14, 339/954) = 1471260

LCM of 217/38, 120/14, 339/954

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 217/38,120/14,339/954

Given numbers are 217/38,120/14,339/954

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 217,120,339

Least Common Multiple of Numerators i.e. LCM of 217,120,339 is 2942520.

GCF of Denominators means GCF of 38,14,954 as per the given fractions.

GCF of 38,14,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,120,339

LCM of Fractions 217/38,120/14,339/954 is 1471260

3 217, 120, 339
217, 40, 113

∴ So the LCM of the given numbers is 3 x 217 x 40 x 113 = 2942520

Least Common Multiple of 217,120,339 with GCF Formula

Least Common Multiple of 217,120,339 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 217,120,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,120,339) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(217,120,339) x common factors =1 x 3 = 3

LCM(217,120,339) = ( 217 × 120 × 339 ) / 3

LCM(217,120,339) = 8827560 / 3

LCM(217,120,339) = 2942520


Lets's calculate GCF of 38,14,954

2 38, 14, 954
19, 7, 477

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2942520/2

Therefore the LCM of Fractions 217/38,120/14,339/954 is 1471260

Greatest Common Factor of 38,14,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,14,954 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 38,14,954 . The biggest common factor number is the GCF number.
So the greatest common factor 38,14,954 is 2.


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 217/38, 120/14, 339/954

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 217/38, 120/14, 339/954?

Answer: LCM of Numerators as per given numbers 217/38, 120/14, 339/954 is

LCM of Numerators i.e. for 217,120,339 is 2942520

GCF of denominators i.e. for 38,14,954 is 2.

Thus, LCM of Fractions is 1471260.Finally, LCM of Fractions for 217/38, 120/14, 339/954 is 1471260.