Least Common Multiple of 97/40, 11/95, 17/79, 99/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/40, 11/95, 17/79, 99/333 quickly i.e. 163251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/40, 11/95, 17/79, 99/333 is 163251.

LCM(97/40, 11/95, 17/79, 99/333) = 163251

LCM of 97/40, 11/95, 17/79, 99/333

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 97/40,11/95,17/79,99/333

Given numbers are 97/40,11/95,17/79,99/333

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 97,11,17,99

Least Common Multiple of Numerators i.e. LCM of 97,11,17,99 is 163251.

GCF of Denominators means GCF of 40,95,79,333 as per the given fractions.

GCF of 40,95,79,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,11,17,99

LCM of Fractions 97/40,11/95,17/79,99/333 is 163251

11 97, 11, 17, 99
97, 1, 17, 9

∴ So the LCM of the given numbers is 11 x 97 x 1 x 17 x 9 = 163251

Least Common Multiple of 97,11,17,99 with GCF Formula

Least Common Multiple of 97,11,17,99 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 97,11,17,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,11,17,99) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(97,11,17,99) x common factors =1 x 11 = 11

LCM(97,11,17,99) = ( 97 × 11 × 17 × 99 ) / 11

LCM(97,11,17,99) = 1795761 / 11

LCM(97,11,17,99) = 163251


Lets's calculate GCF of 40,95,79,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163251/1

Therefore the LCM of Fractions 97/40,11/95,17/79,99/333 is 163251

Greatest Common Factor of 40,95,79,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,95,79,333 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 79

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

1,79

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 40,95,79,333 . The biggest common factor number is the GCF number.
So the greatest common factor 40,95,79,333 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 97/40, 11/95, 17/79, 99/333

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 97/40, 11/95, 17/79, 99/333?

Answer: LCM of Numerators as per given numbers 97/40, 11/95, 17/79, 99/333 is

LCM of Numerators i.e. for 97,11,17,99 is 163251

GCF of denominators i.e. for 40,95,79,333 is 1.

Thus, LCM of Fractions is 163251.Finally, LCM of Fractions for 97/40, 11/95, 17/79, 99/333 is 163251.