Least Common Multiple of 209/68, 813/4948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/68, 813/4948 quickly i.e. 169917/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/68, 813/4948 is 169917/4.

LCM(209/68, 813/4948) = 169917/4

LCM of 209/68, 813/4948

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 209/68,813/4948

Given numbers are 209/68,813/4948

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 209,813

Least Common Multiple of Numerators i.e. LCM of 209,813 is 169917.

GCF of Denominators means GCF of 68,4948 as per the given fractions.

GCF of 68,4948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,813

LCM of Fractions 209/68,813/4948 is 169917/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 169917

Least Common Multiple of 209,813 with GCF Formula

Least Common Multiple of 209,813 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 209,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,813) = 1

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

GCF(209,813) x common factors =1 x 1 = 1

LCM(209,813) = ( 209 × 813 ) / 1

LCM(209,813) = 169917 / 1

LCM(209,813) = 169917


Lets's calculate GCF of 68,4948

2 68, 4948
2 34, 2474
17, 1237

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169917/4

Therefore the LCM of Fractions 209/68,813/4948 is 169917/4

Greatest Common Factor of 68,4948 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4948 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4948

List of positive integer factors of 4948 that divides 4948 without a remainder.

1,2,4,1237,2474,4948

Greatest Common Factor

We found the factors 68,4948 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4948 is 4.


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 209/68, 813/4948

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 209/68, 813/4948?

Answer: LCM of Numerators as per given numbers 209/68, 813/4948 is

LCM of Numerators i.e. for 209,813 is 169917

GCF of denominators i.e. for 68,4948 is 4.

Thus, LCM of Fractions is 169917/4.Finally, LCM of Fractions for 209/68, 813/4948 is 169917/4.