Least Common Multiple of 83/76, 346/79, 272/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/76, 346/79, 272/248 quickly i.e. 3905648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/76, 346/79, 272/248 is 3905648.

LCM(83/76, 346/79, 272/248) = 3905648

LCM of 83/76, 346/79, 272/248

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 83/76,346/79,272/248

Given numbers are 83/76,346/79,272/248

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 83,346,272

Least Common Multiple of Numerators i.e. LCM of 83,346,272 is 3905648.

GCF of Denominators means GCF of 76,79,248 as per the given fractions.

GCF of 76,79,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,346,272

LCM of Fractions 83/76,346/79,272/248 is 3905648

2 83, 346, 272
83, 173, 136

∴ So the LCM of the given numbers is 2 x 83 x 173 x 136 = 3905648

Least Common Multiple of 83,346,272 with GCF Formula

Least Common Multiple of 83,346,272 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 83,346,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,346,272) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,346,272) x common factors =1 x 2 = 2

LCM(83,346,272) = ( 83 × 346 × 272 ) / 2

LCM(83,346,272) = 7811296 / 2

LCM(83,346,272) = 3905648


Lets's calculate GCF of 76,79,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3905648/1

Therefore the LCM of Fractions 83/76,346/79,272/248 is 3905648

Greatest Common Factor of 76,79,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,79,248 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 76,79,248 . The biggest common factor number is the GCF number.
So the greatest common factor 76,79,248 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 83/76, 346/79, 272/248

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 83/76, 346/79, 272/248?

Answer: LCM of Numerators as per given numbers 83/76, 346/79, 272/248 is

LCM of Numerators i.e. for 83,346,272 is 3905648

GCF of denominators i.e. for 76,79,248 is 1.

Thus, LCM of Fractions is 3905648.Finally, LCM of Fractions for 83/76, 346/79, 272/248 is 3905648.