Least Common Multiple of 354/756, 6313/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/756, 6313/794 quickly i.e. 18939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/756, 6313/794 is 18939.

LCM(354/756, 6313/794) = 18939

LCM of 354/756, 6313/794

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 354/756,6313/794

Given numbers are 354/756,6313/794

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 354,6313

Least Common Multiple of Numerators i.e. LCM of 354,6313 is 37878.

GCF of Denominators means GCF of 756,794 as per the given fractions.

GCF of 756,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,6313

LCM of Fractions 354/756,6313/794 is 18939

59 354, 6313
6, 107

∴ So the LCM of the given numbers is 59 x 6 x 107 = 37878

Least Common Multiple of 354,6313 with GCF Formula

Least Common Multiple of 354,6313 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 354,6313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,6313) = 59

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

GCF(354,6313) x common factors =59 x 1 = 59

LCM(354,6313) = ( 354 × 6313 ) / 59

LCM(354,6313) = 2234802 / 59

LCM(354,6313) = 37878


Lets's calculate GCF of 756,794

2 756, 794
378, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37878/2

Therefore the LCM of Fractions 354/756,6313/794 is 18939

Greatest Common Factor of 756,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,794 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 756,794 . The biggest common factor number is the GCF number.
So the greatest common factor 756,794 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 354/756, 6313/794

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 354/756, 6313/794?

Answer: LCM of Numerators as per given numbers 354/756, 6313/794 is

LCM of Numerators i.e. for 354,6313 is 37878

GCF of denominators i.e. for 756,794 is 2.

Thus, LCM of Fractions is 18939.Finally, LCM of Fractions for 354/756, 6313/794 is 18939.