Least Common Multiple of 58/11, 73/78, 36/15, 10/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/11, 73/78, 36/15, 10/731 quickly i.e. 381060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/11, 73/78, 36/15, 10/731 is 381060.

LCM(58/11, 73/78, 36/15, 10/731) = 381060

LCM of 58/11, 73/78, 36/15, 10/731

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 58/11,73/78,36/15,10/731

Given numbers are 58/11,73/78,36/15,10/731

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 58,73,36,10

Least Common Multiple of Numerators i.e. LCM of 58,73,36,10 is 381060.

GCF of Denominators means GCF of 11,78,15,731 as per the given fractions.

GCF of 11,78,15,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,73,36,10

LCM of Fractions 58/11,73/78,36/15,10/731 is 381060

2 58, 73, 36, 10
29, 73, 18, 5

∴ So the LCM of the given numbers is 2 x 29 x 73 x 18 x 5 = 381060

Least Common Multiple of 58,73,36,10 with GCF Formula

Least Common Multiple of 58,73,36,10 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 58,73,36,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,73,36,10) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(58,73,36,10) x common factors =1 x 4 = 4

LCM(58,73,36,10) = ( 58 × 73 × 36 × 10 ) / 4

LCM(58,73,36,10) = 1524240 / 4

LCM(58,73,36,10) = 381060


Lets's calculate GCF of 11,78,15,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381060/1

Therefore the LCM of Fractions 58/11,73/78,36/15,10/731 is 381060

Greatest Common Factor of 11,78,15,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,78,15,731 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 11,78,15,731 . The biggest common factor number is the GCF number.
So the greatest common factor 11,78,15,731 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 58/11, 73/78, 36/15, 10/731

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 58/11, 73/78, 36/15, 10/731?

Answer: LCM of Numerators as per given numbers 58/11, 73/78, 36/15, 10/731 is

LCM of Numerators i.e. for 58,73,36,10 is 381060

GCF of denominators i.e. for 11,78,15,731 is 1.

Thus, LCM of Fractions is 381060.Finally, LCM of Fractions for 58/11, 73/78, 36/15, 10/731 is 381060.