Least Common Multiple of 294/798, 2094/3538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/798, 2094/3538 quickly i.e. 51303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/798, 2094/3538 is 51303.

LCM(294/798, 2094/3538) = 51303

LCM of 294/798, 2094/3538

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 294/798,2094/3538

Given numbers are 294/798,2094/3538

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 294,2094

Least Common Multiple of Numerators i.e. LCM of 294,2094 is 102606.

GCF of Denominators means GCF of 798,3538 as per the given fractions.

GCF of 798,3538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,2094

LCM of Fractions 294/798,2094/3538 is 51303

2 294, 2094
3 147, 1047
49, 349

∴ So the LCM of the given numbers is 2 x 3 x 49 x 349 = 102606

Least Common Multiple of 294,2094 with GCF Formula

Least Common Multiple of 294,2094 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 294,2094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,2094) = 6

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

GCF(294,2094) x common factors =6 x 1 = 6

LCM(294,2094) = ( 294 × 2094 ) / 6

LCM(294,2094) = 615636 / 6

LCM(294,2094) = 102606


Lets's calculate GCF of 798,3538

2 798, 3538
399, 1769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102606/2

Therefore the LCM of Fractions 294/798,2094/3538 is 51303

Greatest Common Factor of 798,3538 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,3538 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1,2,29,58,61,122,1769,3538

Greatest Common Factor

We found the factors 798,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 798,3538 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 294/798, 2094/3538

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 294/798, 2094/3538?

Answer: LCM of Numerators as per given numbers 294/798, 2094/3538 is

LCM of Numerators i.e. for 294,2094 is 102606

GCF of denominators i.e. for 798,3538 is 2.

Thus, LCM of Fractions is 51303.Finally, LCM of Fractions for 294/798, 2094/3538 is 51303.