Least Common Multiple of 59/58, 78/28, 342/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/58, 78/28, 342/164 quickly i.e. 131157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/58, 78/28, 342/164 is 131157.

LCM(59/58, 78/28, 342/164) = 131157

LCM of 59/58, 78/28, 342/164

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 59/58,78/28,342/164

Given numbers are 59/58,78/28,342/164

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 59,78,342

Least Common Multiple of Numerators i.e. LCM of 59,78,342 is 262314.

GCF of Denominators means GCF of 58,28,164 as per the given fractions.

GCF of 58,28,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,78,342

LCM of Fractions 59/58,78/28,342/164 is 131157

2 59, 78, 342
3 59, 39, 171
59, 13, 57

∴ So the LCM of the given numbers is 2 x 3 x 59 x 13 x 57 = 262314

Least Common Multiple of 59,78,342 with GCF Formula

Least Common Multiple of 59,78,342 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 59,78,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,78,342) = 1

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

GCF(59,78,342) x common factors =1 x 6 = 6

LCM(59,78,342) = ( 59 × 78 × 342 ) / 6

LCM(59,78,342) = 1573884 / 6

LCM(59,78,342) = 262314


Lets's calculate GCF of 58,28,164

2 58, 28, 164
29, 14, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262314/2

Therefore the LCM of Fractions 59/58,78/28,342/164 is 131157

Greatest Common Factor of 58,28,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,28,164 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 58,28,164 . The biggest common factor number is the GCF number.
So the greatest common factor 58,28,164 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 59/58, 78/28, 342/164

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 59/58, 78/28, 342/164?

Answer: LCM of Numerators as per given numbers 59/58, 78/28, 342/164 is

LCM of Numerators i.e. for 59,78,342 is 262314

GCF of denominators i.e. for 58,28,164 is 2.

Thus, LCM of Fractions is 131157.Finally, LCM of Fractions for 59/58, 78/28, 342/164 is 131157.