Least Common Multiple of 83/395, 404/597, 269/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/395, 404/597, 269/761 quickly i.e. 9020108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/395, 404/597, 269/761 is 9020108.

LCM(83/395, 404/597, 269/761) = 9020108

LCM of 83/395, 404/597, 269/761

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 83/395,404/597,269/761

Given numbers are 83/395,404/597,269/761

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 83,404,269

Least Common Multiple of Numerators i.e. LCM of 83,404,269 is 9020108.

GCF of Denominators means GCF of 395,597,761 as per the given fractions.

GCF of 395,597,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,404,269

LCM of Fractions 83/395,404/597,269/761 is 9020108

Given numbers has no common factors except 1. So, there LCM is their product i.e 9020108

Least Common Multiple of 83,404,269 with GCF Formula

Least Common Multiple of 83,404,269 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 83,404,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,404,269) = 1

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

GCF(83,404,269) x common factors =1 x 1 = 1

LCM(83,404,269) = ( 83 × 404 × 269 ) / 1

LCM(83,404,269) = 9020108 / 1

LCM(83,404,269) = 9020108


Lets's calculate GCF of 395,597,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9020108/1

Therefore the LCM of Fractions 83/395,404/597,269/761 is 9020108

Greatest Common Factor of 395,597,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,597,761 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 395,597,761 . The biggest common factor number is the GCF number.
So the greatest common factor 395,597,761 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 83/395, 404/597, 269/761

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 83/395, 404/597, 269/761?

Answer: LCM of Numerators as per given numbers 83/395, 404/597, 269/761 is

LCM of Numerators i.e. for 83,404,269 is 9020108

GCF of denominators i.e. for 395,597,761 is 1.

Thus, LCM of Fractions is 9020108.Finally, LCM of Fractions for 83/395, 404/597, 269/761 is 9020108.