Least Common Multiple of 86/30, 13/56, 75/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/30, 13/56, 75/791 quickly i.e. 83850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/30, 13/56, 75/791 is 83850.

LCM(86/30, 13/56, 75/791) = 83850

LCM of 86/30, 13/56, 75/791

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 86/30,13/56,75/791

Given numbers are 86/30,13/56,75/791

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 86,13,75

Least Common Multiple of Numerators i.e. LCM of 86,13,75 is 83850.

GCF of Denominators means GCF of 30,56,791 as per the given fractions.

GCF of 30,56,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,13,75

LCM of Fractions 86/30,13/56,75/791 is 83850

Given numbers has no common factors except 1. So, there LCM is their product i.e 83850

Least Common Multiple of 86,13,75 with GCF Formula

Least Common Multiple of 86,13,75 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 86,13,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,13,75) = 1

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

GCF(86,13,75) x common factors =1 x 1 = 1

LCM(86,13,75) = ( 86 × 13 × 75 ) / 1

LCM(86,13,75) = 83850 / 1

LCM(86,13,75) = 83850


Lets's calculate GCF of 30,56,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83850/1

Therefore the LCM of Fractions 86/30,13/56,75/791 is 83850

Greatest Common Factor of 30,56,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,56,791 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 30,56,791 . The biggest common factor number is the GCF number.
So the greatest common factor 30,56,791 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 86/30, 13/56, 75/791

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 86/30, 13/56, 75/791?

Answer: LCM of Numerators as per given numbers 86/30, 13/56, 75/791 is

LCM of Numerators i.e. for 86,13,75 is 83850

GCF of denominators i.e. for 30,56,791 is 1.

Thus, LCM of Fractions is 83850.Finally, LCM of Fractions for 86/30, 13/56, 75/791 is 83850.