Least Common Multiple of 29/60, 13/51, 877/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/60, 13/51, 877/342 quickly i.e. 330629/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/60, 13/51, 877/342 is 330629/3.

LCM(29/60, 13/51, 877/342) = 330629/3

LCM of 29/60, 13/51, 877/342

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 29/60,13/51,877/342

Given numbers are 29/60,13/51,877/342

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 29,13,877

Least Common Multiple of Numerators i.e. LCM of 29,13,877 is 330629.

GCF of Denominators means GCF of 60,51,342 as per the given fractions.

GCF of 60,51,342 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,13,877

LCM of Fractions 29/60,13/51,877/342 is 330629/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 330629

Least Common Multiple of 29,13,877 with GCF Formula

Least Common Multiple of 29,13,877 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 29,13,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,13,877) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,13,877) x common factors =1 x 1 = 1

LCM(29,13,877) = ( 29 × 13 × 877 ) / 1

LCM(29,13,877) = 330629 / 1

LCM(29,13,877) = 330629


Lets's calculate GCF of 60,51,342

3 60, 51, 342
20, 17, 114

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330629/3

Therefore the LCM of Fractions 29/60,13/51,877/342 is 330629/3

Greatest Common Factor of 60,51,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,51,342 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 60,51,342 . The biggest common factor number is the GCF number.
So the greatest common factor 60,51,342 is 3.


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 29/60, 13/51, 877/342

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 29/60, 13/51, 877/342?

Answer: LCM of Numerators as per given numbers 29/60, 13/51, 877/342 is

LCM of Numerators i.e. for 29,13,877 is 330629

GCF of denominators i.e. for 60,51,342 is 3.

Thus, LCM of Fractions is 330629/3.Finally, LCM of Fractions for 29/60, 13/51, 877/342 is 330629/3.