Least Common Multiple of 403/86, 765/1164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/86, 765/1164 quickly i.e. 308295/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/86, 765/1164 is 308295/2.

LCM(403/86, 765/1164) = 308295/2

LCM of 403/86, 765/1164

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 403/86,765/1164

Given numbers are 403/86,765/1164

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 403,765

Least Common Multiple of Numerators i.e. LCM of 403,765 is 308295.

GCF of Denominators means GCF of 86,1164 as per the given fractions.

GCF of 86,1164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,765

LCM of Fractions 403/86,765/1164 is 308295/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 308295

Least Common Multiple of 403,765 with GCF Formula

Least Common Multiple of 403,765 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 403,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,765) = 1

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

GCF(403,765) x common factors =1 x 1 = 1

LCM(403,765) = ( 403 × 765 ) / 1

LCM(403,765) = 308295 / 1

LCM(403,765) = 308295


Lets's calculate GCF of 86,1164

2 86, 1164
43, 582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308295/2

Therefore the LCM of Fractions 403/86,765/1164 is 308295/2

Greatest Common Factor of 86,1164 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,1164 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 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors 86,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 86,1164 is 2.


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 403/86, 765/1164

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 403/86, 765/1164?

Answer: LCM of Numerators as per given numbers 403/86, 765/1164 is

LCM of Numerators i.e. for 403,765 is 308295

GCF of denominators i.e. for 86,1164 is 2.

Thus, LCM of Fractions is 308295/2.Finally, LCM of Fractions for 403/86, 765/1164 is 308295/2.