Least Common Multiple of 17/143, 742/99, 906/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/143, 742/99, 906/274 quickly i.e. 5714142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/143, 742/99, 906/274 is 5714142.

LCM(17/143, 742/99, 906/274) = 5714142

LCM of 17/143, 742/99, 906/274

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 17/143,742/99,906/274

Given numbers are 17/143,742/99,906/274

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 17,742,906

Least Common Multiple of Numerators i.e. LCM of 17,742,906 is 5714142.

GCF of Denominators means GCF of 143,99,274 as per the given fractions.

GCF of 143,99,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,742,906

LCM of Fractions 17/143,742/99,906/274 is 5714142

2 17, 742, 906
17, 371, 453

∴ So the LCM of the given numbers is 2 x 17 x 371 x 453 = 5714142

Least Common Multiple of 17,742,906 with GCF Formula

Least Common Multiple of 17,742,906 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 17,742,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,742,906) = 1

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

GCF(17,742,906) x common factors =1 x 2 = 2

LCM(17,742,906) = ( 17 × 742 × 906 ) / 2

LCM(17,742,906) = 11428284 / 2

LCM(17,742,906) = 5714142


Lets's calculate GCF of 143,99,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5714142/1

Therefore the LCM of Fractions 17/143,742/99,906/274 is 5714142

Greatest Common Factor of 143,99,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,99,274 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 143,99,274 . The biggest common factor number is the GCF number.
So the greatest common factor 143,99,274 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 17/143, 742/99, 906/274

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 17/143, 742/99, 906/274?

Answer: LCM of Numerators as per given numbers 17/143, 742/99, 906/274 is

LCM of Numerators i.e. for 17,742,906 is 5714142

GCF of denominators i.e. for 143,99,274 is 1.

Thus, LCM of Fractions is 5714142.Finally, LCM of Fractions for 17/143, 742/99, 906/274 is 5714142.