Least Common Multiple of 76/18, 97/34, 40/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/18, 97/34, 40/272 quickly i.e. 36860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/18, 97/34, 40/272 is 36860.

LCM(76/18, 97/34, 40/272) = 36860

LCM of 76/18, 97/34, 40/272

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 76/18,97/34,40/272

Given numbers are 76/18,97/34,40/272

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 76,97,40

Least Common Multiple of Numerators i.e. LCM of 76,97,40 is 73720.

GCF of Denominators means GCF of 18,34,272 as per the given fractions.

GCF of 18,34,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,97,40

LCM of Fractions 76/18,97/34,40/272 is 36860

2 76, 97, 40
2 38, 97, 20
19, 97, 10

∴ So the LCM of the given numbers is 2 x 2 x 19 x 97 x 10 = 73720

Least Common Multiple of 76,97,40 with GCF Formula

Least Common Multiple of 76,97,40 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 76,97,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,97,40) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,97,40) x common factors =1 x 4 = 4

LCM(76,97,40) = ( 76 × 97 × 40 ) / 4

LCM(76,97,40) = 294880 / 4

LCM(76,97,40) = 73720


Lets's calculate GCF of 18,34,272

2 18, 34, 272
9, 17, 136

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73720/2

Therefore the LCM of Fractions 76/18,97/34,40/272 is 36860

Greatest Common Factor of 18,34,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,34,272 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 34

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

1,2,17,34

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 18,34,272 . The biggest common factor number is the GCF number.
So the greatest common factor 18,34,272 is 2.


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 76/18, 97/34, 40/272

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 76/18, 97/34, 40/272?

Answer: LCM of Numerators as per given numbers 76/18, 97/34, 40/272 is

LCM of Numerators i.e. for 76,97,40 is 73720

GCF of denominators i.e. for 18,34,272 is 2.

Thus, LCM of Fractions is 36860.Finally, LCM of Fractions for 76/18, 97/34, 40/272 is 36860.