Least Common Multiple of 86/28, 39/68, 975/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/28, 39/68, 975/751 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 86/28, 39/68, 975/751 is 83850.

LCM(86/28, 39/68, 975/751) = 83850

LCM of 86/28, 39/68, 975/751

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 86/28,39/68,975/751

Given numbers are 86/28,39/68,975/751

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 86,39,975

Least Common Multiple of Numerators i.e. LCM of 86,39,975 is 83850.

GCF of Denominators means GCF of 28,68,751 as per the given fractions.

GCF of 28,68,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,39,975

LCM of Fractions 86/28,39/68,975/751 is 83850

3 86, 39, 975
13 86, 13, 325
86, 1, 25

∴ So the LCM of the given numbers is 3 x 13 x 86 x 1 x 25 = 83850

Least Common Multiple of 86,39,975 with GCF Formula

Least Common Multiple of 86,39,975 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 86,39,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,39,975) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(86,39,975) x common factors =1 x 39 = 39

LCM(86,39,975) = ( 86 × 39 × 975 ) / 39

LCM(86,39,975) = 3270150 / 39

LCM(86,39,975) = 83850


Lets's calculate GCF of 28,68,751

∴ 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 86/28,39/68,975/751 is 83850

Greatest Common Factor of 28,68,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,68,751 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 28,68,751 . The biggest common factor number is the GCF number.
So the greatest common factor 28,68,751 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 86/28, 39/68, 975/751

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 86/28, 39/68, 975/751?

Answer: LCM of Numerators as per given numbers 86/28, 39/68, 975/751 is

LCM of Numerators i.e. for 86,39,975 is 83850

GCF of denominators i.e. for 28,68,751 is 1.

Thus, LCM of Fractions is 83850.Finally, LCM of Fractions for 86/28, 39/68, 975/751 is 83850.