Least Common Multiple of 28/372, 2706/9469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/372, 2706/9469 quickly i.e. 37884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/372, 2706/9469 is 37884.

LCM(28/372, 2706/9469) = 37884

LCM of 28/372, 2706/9469

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 28/372,2706/9469

Given numbers are 28/372,2706/9469

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 28,2706

Least Common Multiple of Numerators i.e. LCM of 28,2706 is 37884.

GCF of Denominators means GCF of 372,9469 as per the given fractions.

GCF of 372,9469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,2706

LCM of Fractions 28/372,2706/9469 is 37884

2 28, 2706
14, 1353

∴ So the LCM of the given numbers is 2 x 14 x 1353 = 37884

Least Common Multiple of 28,2706 with GCF Formula

Least Common Multiple of 28,2706 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 28,2706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2706) = 2

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

GCF(28,2706) x common factors =2 x 1 = 2

LCM(28,2706) = ( 28 × 2706 ) / 2

LCM(28,2706) = 75768 / 2

LCM(28,2706) = 37884


Lets's calculate GCF of 372,9469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37884/1

Therefore the LCM of Fractions 28/372,2706/9469 is 37884

Greatest Common Factor of 372,9469 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,9469 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1,17,557,9469

Greatest Common Factor

We found the factors 372,9469 . The biggest common factor number is the GCF number.
So the greatest common factor 372,9469 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 28/372, 2706/9469

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 28/372, 2706/9469?

Answer: LCM of Numerators as per given numbers 28/372, 2706/9469 is

LCM of Numerators i.e. for 28,2706 is 37884

GCF of denominators i.e. for 372,9469 is 1.

Thus, LCM of Fractions is 37884.Finally, LCM of Fractions for 28/372, 2706/9469 is 37884.