Least Common Multiple of 28/86, 35/24, 25/44, 756/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/86, 35/24, 25/44, 756/42 quickly i.e. 9450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/86, 35/24, 25/44, 756/42 is 9450.

LCM(28/86, 35/24, 25/44, 756/42) = 9450

LCM of 28/86, 35/24, 25/44, 756/42

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 28/86,35/24,25/44,756/42

Given numbers are 28/86,35/24,25/44,756/42

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 28,35,25,756

Least Common Multiple of Numerators i.e. LCM of 28,35,25,756 is 18900.

GCF of Denominators means GCF of 86,24,44,42 as per the given fractions.

GCF of 86,24,44,42 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,35,25,756

LCM of Fractions 28/86,35/24,25/44,756/42 is 9450

2 28, 35, 25, 756
2 14, 35, 25, 378
5 7, 35, 25, 189
7 7, 7, 5, 189
1, 1, 5, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 1 x 5 x 27 = 18900

Least Common Multiple of 28,35,25,756 with GCF Formula

Least Common Multiple of 28,35,25,756 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 28,35,25,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,35,25,756) = 1

common factors(in case of two or more numbers have common factors) = 980

GCF(28,35,25,756) x common factors =1 x 980 = 980

LCM(28,35,25,756) = ( 28 × 35 × 25 × 756 ) / 980

LCM(28,35,25,756) = 18522000 / 980

LCM(28,35,25,756) = 18900


Lets's calculate GCF of 86,24,44,42

2 86, 24, 44, 42
43, 12, 22, 21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18900/2

Therefore the LCM of Fractions 28/86,35/24,25/44,756/42 is 9450

Greatest Common Factor of 86,24,44,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,24,44,42 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 42

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

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

Greatest Common Factor

We found the factors 86,24,44,42 . The biggest common factor number is the GCF number.
So the greatest common factor 86,24,44,42 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 28/86, 35/24, 25/44, 756/42

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 28/86, 35/24, 25/44, 756/42?

Answer: LCM of Numerators as per given numbers 28/86, 35/24, 25/44, 756/42 is

LCM of Numerators i.e. for 28,35,25,756 is 18900

GCF of denominators i.e. for 86,24,44,42 is 2.

Thus, LCM of Fractions is 9450.Finally, LCM of Fractions for 28/86, 35/24, 25/44, 756/42 is 9450.