Least Common Multiple of 298/11, 9345/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/11, 9345/979 quickly i.e. 2784810/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/11, 9345/979 is 2784810/11.

LCM(298/11, 9345/979) = 2784810/11

LCM of 298/11, 9345/979

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 298/11,9345/979

Given numbers are 298/11,9345/979

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 298,9345

Least Common Multiple of Numerators i.e. LCM of 298,9345 is 2784810.

GCF of Denominators means GCF of 11,979 as per the given fractions.

GCF of 11,979 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,9345

LCM of Fractions 298/11,9345/979 is 2784810/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2784810

Least Common Multiple of 298,9345 with GCF Formula

Least Common Multiple of 298,9345 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 298,9345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,9345) = 1

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

GCF(298,9345) x common factors =1 x 1 = 1

LCM(298,9345) = ( 298 × 9345 ) / 1

LCM(298,9345) = 2784810 / 1

LCM(298,9345) = 2784810


Lets's calculate GCF of 11,979

11 11, 979
1, 89

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2784810/11

Therefore the LCM of Fractions 298/11,9345/979 is 2784810/11

Greatest Common Factor of 11,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,979 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 11,979 . The biggest common factor number is the GCF number.
So the greatest common factor 11,979 is 11.


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 298/11, 9345/979

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 298/11, 9345/979?

Answer: LCM of Numerators as per given numbers 298/11, 9345/979 is

LCM of Numerators i.e. for 298,9345 is 2784810

GCF of denominators i.e. for 11,979 is 11.

Thus, LCM of Fractions is 2784810/11.Finally, LCM of Fractions for 298/11, 9345/979 is 2784810/11.