Least Common Multiple of 17/129, 54/465, 514/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/129, 54/465, 514/158 quickly i.e. 235926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/129, 54/465, 514/158 is 235926.

LCM(17/129, 54/465, 514/158) = 235926

LCM of 17/129, 54/465, 514/158

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 17/129,54/465,514/158

Given numbers are 17/129,54/465,514/158

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 17,54,514

Least Common Multiple of Numerators i.e. LCM of 17,54,514 is 235926.

GCF of Denominators means GCF of 129,465,158 as per the given fractions.

GCF of 129,465,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,54,514

LCM of Fractions 17/129,54/465,514/158 is 235926

2 17, 54, 514
17, 27, 257

∴ So the LCM of the given numbers is 2 x 17 x 27 x 257 = 235926

Least Common Multiple of 17,54,514 with GCF Formula

Least Common Multiple of 17,54,514 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 17,54,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,54,514) = 1

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

GCF(17,54,514) x common factors =1 x 2 = 2

LCM(17,54,514) = ( 17 × 54 × 514 ) / 2

LCM(17,54,514) = 471852 / 2

LCM(17,54,514) = 235926


Lets's calculate GCF of 129,465,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235926/1

Therefore the LCM of Fractions 17/129,54/465,514/158 is 235926

Greatest Common Factor of 129,465,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,465,158 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 129,465,158 . The biggest common factor number is the GCF number.
So the greatest common factor 129,465,158 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 17/129, 54/465, 514/158

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 17/129, 54/465, 514/158?

Answer: LCM of Numerators as per given numbers 17/129, 54/465, 514/158 is

LCM of Numerators i.e. for 17,54,514 is 235926

GCF of denominators i.e. for 129,465,158 is 1.

Thus, LCM of Fractions is 235926.Finally, LCM of Fractions for 17/129, 54/465, 514/158 is 235926.