Least Common Multiple of 28/142, 2628/6695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/142, 2628/6695 quickly i.e. 18396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/142, 2628/6695 is 18396.

LCM(28/142, 2628/6695) = 18396

LCM of 28/142, 2628/6695

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 28/142,2628/6695

Given numbers are 28/142,2628/6695

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 28,2628

Least Common Multiple of Numerators i.e. LCM of 28,2628 is 18396.

GCF of Denominators means GCF of 142,6695 as per the given fractions.

GCF of 142,6695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,2628

LCM of Fractions 28/142,2628/6695 is 18396

2 28, 2628
2 14, 1314
7, 657

∴ So the LCM of the given numbers is 2 x 2 x 7 x 657 = 18396

Least Common Multiple of 28,2628 with GCF Formula

Least Common Multiple of 28,2628 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 28,2628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2628) = 4

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

GCF(28,2628) x common factors =4 x 1 = 4

LCM(28,2628) = ( 28 × 2628 ) / 4

LCM(28,2628) = 73584 / 4

LCM(28,2628) = 18396


Lets's calculate GCF of 142,6695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18396/1

Therefore the LCM of Fractions 28/142,2628/6695 is 18396

Greatest Common Factor of 142,6695 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,6695 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1,5,13,65,103,515,1339,6695

Greatest Common Factor

We found the factors 142,6695 . The biggest common factor number is the GCF number.
So the greatest common factor 142,6695 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 28/142, 2628/6695

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 28/142, 2628/6695?

Answer: LCM of Numerators as per given numbers 28/142, 2628/6695 is

LCM of Numerators i.e. for 28,2628 is 18396

GCF of denominators i.e. for 142,6695 is 1.

Thus, LCM of Fractions is 18396.Finally, LCM of Fractions for 28/142, 2628/6695 is 18396.