Least Common Multiple of 726/187, 2814/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/187, 2814/790 quickly i.e. 340494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/187, 2814/790 is 340494.

LCM(726/187, 2814/790) = 340494

LCM of 726/187, 2814/790

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 726/187,2814/790

Given numbers are 726/187,2814/790

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 726,2814

Least Common Multiple of Numerators i.e. LCM of 726,2814 is 340494.

GCF of Denominators means GCF of 187,790 as per the given fractions.

GCF of 187,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,2814

LCM of Fractions 726/187,2814/790 is 340494

2 726, 2814
3 363, 1407
121, 469

∴ So the LCM of the given numbers is 2 x 3 x 121 x 469 = 340494

Least Common Multiple of 726,2814 with GCF Formula

Least Common Multiple of 726,2814 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 726,2814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,2814) = 6

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

GCF(726,2814) x common factors =6 x 1 = 6

LCM(726,2814) = ( 726 × 2814 ) / 6

LCM(726,2814) = 2042964 / 6

LCM(726,2814) = 340494


Lets's calculate GCF of 187,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340494/1

Therefore the LCM of Fractions 726/187,2814/790 is 340494

Greatest Common Factor of 187,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,790 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 187,790 . The biggest common factor number is the GCF number.
So the greatest common factor 187,790 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 726/187, 2814/790

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 726/187, 2814/790?

Answer: LCM of Numerators as per given numbers 726/187, 2814/790 is

LCM of Numerators i.e. for 726,2814 is 340494

GCF of denominators i.e. for 187,790 is 1.

Thus, LCM of Fractions is 340494.Finally, LCM of Fractions for 726/187, 2814/790 is 340494.