Least Common Multiple of 73/42, 78/65, 58/31, 58/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/42, 78/65, 58/31, 58/550 quickly i.e. 165126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/42, 78/65, 58/31, 58/550 is 165126.

LCM(73/42, 78/65, 58/31, 58/550) = 165126

LCM of 73/42, 78/65, 58/31, 58/550

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 73/42,78/65,58/31,58/550

Given numbers are 73/42,78/65,58/31,58/550

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 73,78,58,58

Least Common Multiple of Numerators i.e. LCM of 73,78,58,58 is 165126.

GCF of Denominators means GCF of 42,65,31,550 as per the given fractions.

GCF of 42,65,31,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,78,58,58

LCM of Fractions 73/42,78/65,58/31,58/550 is 165126

2 73, 78, 58, 58
29 73, 39, 29, 29
73, 39, 1, 1

∴ So the LCM of the given numbers is 2 x 29 x 73 x 39 x 1 x 1 = 165126

Least Common Multiple of 73,78,58,58 with GCF Formula

Least Common Multiple of 73,78,58,58 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 73,78,58,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,78,58,58) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(73,78,58,58) x common factors =1 x 116 = 116

LCM(73,78,58,58) = ( 73 × 78 × 58 × 58 ) / 116

LCM(73,78,58,58) = 19154616 / 116

LCM(73,78,58,58) = 165126


Lets's calculate GCF of 42,65,31,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165126/1

Therefore the LCM of Fractions 73/42,78/65,58/31,58/550 is 165126

Greatest Common Factor of 42,65,31,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,65,31,550 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 42,65,31,550 . The biggest common factor number is the GCF number.
So the greatest common factor 42,65,31,550 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 73/42, 78/65, 58/31, 58/550

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 73/42, 78/65, 58/31, 58/550?

Answer: LCM of Numerators as per given numbers 73/42, 78/65, 58/31, 58/550 is

LCM of Numerators i.e. for 73,78,58,58 is 165126

GCF of denominators i.e. for 42,65,31,550 is 1.

Thus, LCM of Fractions is 165126.Finally, LCM of Fractions for 73/42, 78/65, 58/31, 58/550 is 165126.