Least Common Multiple of 99/294, 38/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/294, 38/961 quickly i.e. 3762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/294, 38/961 is 3762.

LCM(99/294, 38/961) = 3762

LCM of 99/294, 38/961

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 99/294,38/961

Given numbers are 99/294,38/961

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 99,38

Least Common Multiple of Numerators i.e. LCM of 99,38 is 3762.

GCF of Denominators means GCF of 294,961 as per the given fractions.

GCF of 294,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,38

LCM of Fractions 99/294,38/961 is 3762

Given numbers has no common factors except 1. So, there LCM is their product i.e 3762

Least Common Multiple of 99,38 with GCF Formula

Least Common Multiple of 99,38 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 99,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,38) = 1

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

GCF(99,38) x common factors =1 x 1 = 1

LCM(99,38) = ( 99 × 38 ) / 1

LCM(99,38) = 3762 / 1

LCM(99,38) = 3762


Lets's calculate GCF of 294,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3762/1

Therefore the LCM of Fractions 99/294,38/961 is 3762

Greatest Common Factor of 294,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,961 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 294,961 . The biggest common factor number is the GCF number.
So the greatest common factor 294,961 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/294, 38/961

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 99/294, 38/961?

Answer: LCM of Numerators as per given numbers 99/294, 38/961 is

LCM of Numerators i.e. for 99,38 is 3762

GCF of denominators i.e. for 294,961 is 1.

Thus, LCM of Fractions is 3762.Finally, LCM of Fractions for 99/294, 38/961 is 3762.