Least Common Multiple of 28/756, 14/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/756, 14/826 quickly i.e. 2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/756, 14/826 is 2.

LCM(28/756, 14/826) = 2

LCM of 28/756, 14/826

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 28/756,14/826

Given numbers are 28/756,14/826

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 28,14

Least Common Multiple of Numerators i.e. LCM of 28,14 is 28.

GCF of Denominators means GCF of 756,826 as per the given fractions.

GCF of 756,826 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,14

LCM of Fractions 28/756,14/826 is 2

2 28, 14
7 14, 7
2, 1

∴ So the LCM of the given numbers is 2 x 7 x 2 x 1 = 28

Least Common Multiple of 28,14 with GCF Formula

Least Common Multiple of 28,14 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 28,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,14) = 14

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

GCF(28,14) x common factors =14 x 1 = 14

LCM(28,14) = ( 28 × 14 ) / 14

LCM(28,14) = 392 / 14

LCM(28,14) = 28


Lets's calculate GCF of 756,826

2 756, 826
7 378, 413
54, 59

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28/14

Therefore the LCM of Fractions 28/756,14/826 is 2

Greatest Common Factor of 756,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,826 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 756,826 . The biggest common factor number is the GCF number.
So the greatest common factor 756,826 is 14.


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 28/756, 14/826

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 28/756, 14/826?

Answer: LCM of Numerators as per given numbers 28/756, 14/826 is

LCM of Numerators i.e. for 28,14 is 28

GCF of denominators i.e. for 756,826 is 14.

Thus, LCM of Fractions is 2.Finally, LCM of Fractions for 28/756, 14/826 is 2.