Least Common Multiple of 28/682, 2252/8792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/682, 2252/8792 quickly i.e. 7882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/682, 2252/8792 is 7882.

LCM(28/682, 2252/8792) = 7882

LCM of 28/682, 2252/8792

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 28/682,2252/8792

Given numbers are 28/682,2252/8792

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 28,2252

Least Common Multiple of Numerators i.e. LCM of 28,2252 is 15764.

GCF of Denominators means GCF of 682,8792 as per the given fractions.

GCF of 682,8792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,2252

LCM of Fractions 28/682,2252/8792 is 7882

2 28, 2252
2 14, 1126
7, 563

∴ So the LCM of the given numbers is 2 x 2 x 7 x 563 = 15764

Least Common Multiple of 28,2252 with GCF Formula

Least Common Multiple of 28,2252 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 28,2252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2252) = 4

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

GCF(28,2252) x common factors =4 x 1 = 4

LCM(28,2252) = ( 28 × 2252 ) / 4

LCM(28,2252) = 63056 / 4

LCM(28,2252) = 15764


Lets's calculate GCF of 682,8792

2 682, 8792
341, 4396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15764/2

Therefore the LCM of Fractions 28/682,2252/8792 is 7882

Greatest Common Factor of 682,8792 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,8792 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792

Greatest Common Factor

We found the factors 682,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 682,8792 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 28/682, 2252/8792

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 28/682, 2252/8792?

Answer: LCM of Numerators as per given numbers 28/682, 2252/8792 is

LCM of Numerators i.e. for 28,2252 is 15764

GCF of denominators i.e. for 682,8792 is 2.

Thus, LCM of Fractions is 7882.Finally, LCM of Fractions for 28/682, 2252/8792 is 7882.