Least Common Multiple of 7279/488, 1961/6809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7279/488, 1961/6809 quickly i.e. 14274119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7279/488, 1961/6809 is 14274119.

LCM(7279/488, 1961/6809) = 14274119

LCM of 7279/488, 1961/6809

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 7279/488,1961/6809

Given numbers are 7279/488,1961/6809

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 7279,1961

Least Common Multiple of Numerators i.e. LCM of 7279,1961 is 14274119.

GCF of Denominators means GCF of 488,6809 as per the given fractions.

GCF of 488,6809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7279,1961

LCM of Fractions 7279/488,1961/6809 is 14274119

Given numbers has no common factors except 1. So, there LCM is their product i.e 14274119

Least Common Multiple of 7279,1961 with GCF Formula

Least Common Multiple of 7279,1961 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 7279,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7279,1961) = 1

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

GCF(7279,1961) x common factors =1 x 1 = 1

LCM(7279,1961) = ( 7279 × 1961 ) / 1

LCM(7279,1961) = 14274119 / 1

LCM(7279,1961) = 14274119


Lets's calculate GCF of 488,6809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14274119/1

Therefore the LCM of Fractions 7279/488,1961/6809 is 14274119

Greatest Common Factor of 488,6809 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,6809 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1,11,619,6809

Greatest Common Factor

We found the factors 488,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 488,6809 is 1.


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 7279/488, 1961/6809

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 7279/488, 1961/6809?

Answer: LCM of Numerators as per given numbers 7279/488, 1961/6809 is

LCM of Numerators i.e. for 7279,1961 is 14274119

GCF of denominators i.e. for 488,6809 is 1.

Thus, LCM of Fractions is 14274119.Finally, LCM of Fractions for 7279/488, 1961/6809 is 14274119.