Least Common Multiple of 2179/605, 7862/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2179/605, 7862/363 quickly i.e. 17131298/121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2179/605, 7862/363 is 17131298/121.

LCM(2179/605, 7862/363) = 17131298/121

LCM of 2179/605, 7862/363

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 2179/605,7862/363

Given numbers are 2179/605,7862/363

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 2179,7862

Least Common Multiple of Numerators i.e. LCM of 2179,7862 is 17131298.

GCF of Denominators means GCF of 605,363 as per the given fractions.

GCF of 605,363 is 121 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2179,7862

LCM of Fractions 2179/605,7862/363 is 17131298/121

Given numbers has no common factors except 1. So, there LCM is their product i.e 17131298

Least Common Multiple of 2179,7862 with GCF Formula

Least Common Multiple of 2179,7862 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 2179,7862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2179,7862) = 1

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

GCF(2179,7862) x common factors =1 x 1 = 1

LCM(2179,7862) = ( 2179 × 7862 ) / 1

LCM(2179,7862) = 17131298 / 1

LCM(2179,7862) = 17131298


Lets's calculate GCF of 605,363

11 605, 363
11 55, 33
5, 3

∴ So the GCF of the given numbers is 11 x 11 = 121

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17131298/121

Therefore the LCM of Fractions 2179/605,7862/363 is 17131298/121

Greatest Common Factor of 605,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,363 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 605,363 . The biggest common factor number is the GCF number.
So the greatest common factor 605,363 is 121.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2179/605, 7862/363

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 2179/605, 7862/363?

Answer: LCM of Numerators as per given numbers 2179/605, 7862/363 is

LCM of Numerators i.e. for 2179,7862 is 17131298

GCF of denominators i.e. for 605,363 is 121.

Thus, LCM of Fractions is 17131298/121.Finally, LCM of Fractions for 2179/605, 7862/363 is 17131298/121.