Least Common Multiple of 1315/86, 1379/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1315/86, 1379/808 quickly i.e. 1813385/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1315/86, 1379/808 is 1813385/2.

LCM(1315/86, 1379/808) = 1813385/2

LCM of 1315/86, 1379/808

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 1315/86,1379/808

Given numbers are 1315/86,1379/808

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 1315,1379

Least Common Multiple of Numerators i.e. LCM of 1315,1379 is 1813385.

GCF of Denominators means GCF of 86,808 as per the given fractions.

GCF of 86,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1315,1379

LCM of Fractions 1315/86,1379/808 is 1813385/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1813385

Least Common Multiple of 1315,1379 with GCF Formula

Least Common Multiple of 1315,1379 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 1315,1379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1315,1379) = 1

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

GCF(1315,1379) x common factors =1 x 1 = 1

LCM(1315,1379) = ( 1315 × 1379 ) / 1

LCM(1315,1379) = 1813385 / 1

LCM(1315,1379) = 1813385


Lets's calculate GCF of 86,808

2 86, 808
43, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1813385/2

Therefore the LCM of Fractions 1315/86,1379/808 is 1813385/2

Greatest Common Factor of 86,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,808 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 86,808 . The biggest common factor number is the GCF number.
So the greatest common factor 86,808 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1315/86, 1379/808

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 1315/86, 1379/808?

Answer: LCM of Numerators as per given numbers 1315/86, 1379/808 is

LCM of Numerators i.e. for 1315,1379 is 1813385

GCF of denominators i.e. for 86,808 is 2.

Thus, LCM of Fractions is 1813385/2.Finally, LCM of Fractions for 1315/86, 1379/808 is 1813385/2.