Least Common Multiple of 28/109, 7342/1926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/109, 7342/1926 quickly i.e. 102788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/109, 7342/1926 is 102788.

LCM(28/109, 7342/1926) = 102788

LCM of 28/109, 7342/1926

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 28/109,7342/1926

Given numbers are 28/109,7342/1926

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 28,7342

Least Common Multiple of Numerators i.e. LCM of 28,7342 is 102788.

GCF of Denominators means GCF of 109,1926 as per the given fractions.

GCF of 109,1926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,7342

LCM of Fractions 28/109,7342/1926 is 102788

2 28, 7342
14, 3671

∴ So the LCM of the given numbers is 2 x 14 x 3671 = 102788

Least Common Multiple of 28,7342 with GCF Formula

Least Common Multiple of 28,7342 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 28,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,7342) = 2

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

GCF(28,7342) x common factors =2 x 1 = 2

LCM(28,7342) = ( 28 × 7342 ) / 2

LCM(28,7342) = 205576 / 2

LCM(28,7342) = 102788


Lets's calculate GCF of 109,1926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102788/1

Therefore the LCM of Fractions 28/109,7342/1926 is 102788

Greatest Common Factor of 109,1926 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,1926 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1,2,3,6,9,18,107,214,321,642,963,1926

Greatest Common Factor

We found the factors 109,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 109,1926 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 28/109, 7342/1926

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 28/109, 7342/1926?

Answer: LCM of Numerators as per given numbers 28/109, 7342/1926 is

LCM of Numerators i.e. for 28,7342 is 102788

GCF of denominators i.e. for 109,1926 is 1.

Thus, LCM of Fractions is 102788.Finally, LCM of Fractions for 28/109, 7342/1926 is 102788.