Least Common Multiple of 93/40, 117/17, 861/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/40, 117/17, 861/796 quickly i.e. 1040949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/40, 117/17, 861/796 is 1040949.

LCM(93/40, 117/17, 861/796) = 1040949

LCM of 93/40, 117/17, 861/796

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 93/40,117/17,861/796

Given numbers are 93/40,117/17,861/796

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 93,117,861

Least Common Multiple of Numerators i.e. LCM of 93,117,861 is 1040949.

GCF of Denominators means GCF of 40,17,796 as per the given fractions.

GCF of 40,17,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,117,861

LCM of Fractions 93/40,117/17,861/796 is 1040949

3 93, 117, 861
31, 39, 287

∴ So the LCM of the given numbers is 3 x 31 x 39 x 287 = 1040949

Least Common Multiple of 93,117,861 with GCF Formula

Least Common Multiple of 93,117,861 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 93,117,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,117,861) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(93,117,861) x common factors =3 x 3 = 9

LCM(93,117,861) = ( 93 × 117 × 861 ) / 9

LCM(93,117,861) = 9368541 / 9

LCM(93,117,861) = 1040949


Lets's calculate GCF of 40,17,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1040949/1

Therefore the LCM of Fractions 93/40,117/17,861/796 is 1040949

Greatest Common Factor of 40,17,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,17,796 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 40,17,796 . The biggest common factor number is the GCF number.
So the greatest common factor 40,17,796 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 93/40, 117/17, 861/796

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 93/40, 117/17, 861/796?

Answer: LCM of Numerators as per given numbers 93/40, 117/17, 861/796 is

LCM of Numerators i.e. for 93,117,861 is 1040949

GCF of denominators i.e. for 40,17,796 is 1.

Thus, LCM of Fractions is 1040949.Finally, LCM of Fractions for 93/40, 117/17, 861/796 is 1040949.