Least Common Multiple of 83/34, 15/93, 91/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/34, 15/93, 91/364 quickly i.e. 113295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/34, 15/93, 91/364 is 113295.

LCM(83/34, 15/93, 91/364) = 113295

LCM of 83/34, 15/93, 91/364

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 83/34,15/93,91/364

Given numbers are 83/34,15/93,91/364

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 83,15,91

Least Common Multiple of Numerators i.e. LCM of 83,15,91 is 113295.

GCF of Denominators means GCF of 34,93,364 as per the given fractions.

GCF of 34,93,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,15,91

LCM of Fractions 83/34,15/93,91/364 is 113295

Given numbers has no common factors except 1. So, there LCM is their product i.e 113295

Least Common Multiple of 83,15,91 with GCF Formula

Least Common Multiple of 83,15,91 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 83,15,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,15,91) = 1

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

GCF(83,15,91) x common factors =1 x 1 = 1

LCM(83,15,91) = ( 83 × 15 × 91 ) / 1

LCM(83,15,91) = 113295 / 1

LCM(83,15,91) = 113295


Lets's calculate GCF of 34,93,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113295/1

Therefore the LCM of Fractions 83/34,15/93,91/364 is 113295

Greatest Common Factor of 34,93,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,93,364 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 34,93,364 . The biggest common factor number is the GCF number.
So the greatest common factor 34,93,364 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 83/34, 15/93, 91/364

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 83/34, 15/93, 91/364?

Answer: LCM of Numerators as per given numbers 83/34, 15/93, 91/364 is

LCM of Numerators i.e. for 83,15,91 is 113295

GCF of denominators i.e. for 34,93,364 is 1.

Thus, LCM of Fractions is 113295.Finally, LCM of Fractions for 83/34, 15/93, 91/364 is 113295.