Least Common Multiple of 679/109, 2299/4180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/109, 2299/4180 quickly i.e. 1561021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/109, 2299/4180 is 1561021.

LCM(679/109, 2299/4180) = 1561021

LCM of 679/109, 2299/4180

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 679/109,2299/4180

Given numbers are 679/109,2299/4180

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 679,2299

Least Common Multiple of Numerators i.e. LCM of 679,2299 is 1561021.

GCF of Denominators means GCF of 109,4180 as per the given fractions.

GCF of 109,4180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,2299

LCM of Fractions 679/109,2299/4180 is 1561021

Given numbers has no common factors except 1. So, there LCM is their product i.e 1561021

Least Common Multiple of 679,2299 with GCF Formula

Least Common Multiple of 679,2299 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 679,2299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,2299) = 1

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

GCF(679,2299) x common factors =1 x 1 = 1

LCM(679,2299) = ( 679 × 2299 ) / 1

LCM(679,2299) = 1561021 / 1

LCM(679,2299) = 1561021


Lets's calculate GCF of 109,4180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1561021/1

Therefore the LCM of Fractions 679/109,2299/4180 is 1561021

Greatest Common Factor of 109,4180 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,4180 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 109,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 109,4180 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 679/109, 2299/4180

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 679/109, 2299/4180?

Answer: LCM of Numerators as per given numbers 679/109, 2299/4180 is

LCM of Numerators i.e. for 679,2299 is 1561021

GCF of denominators i.e. for 109,4180 is 1.

Thus, LCM of Fractions is 1561021.Finally, LCM of Fractions for 679/109, 2299/4180 is 1561021.