Least Common Multiple of 17/902, 677/317, 874/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/902, 677/317, 874/738 quickly i.e. 10058866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/902, 677/317, 874/738 is 10058866.

LCM(17/902, 677/317, 874/738) = 10058866

LCM of 17/902, 677/317, 874/738

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 17/902,677/317,874/738

Given numbers are 17/902,677/317,874/738

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 17,677,874

Least Common Multiple of Numerators i.e. LCM of 17,677,874 is 10058866.

GCF of Denominators means GCF of 902,317,738 as per the given fractions.

GCF of 902,317,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,677,874

LCM of Fractions 17/902,677/317,874/738 is 10058866

Given numbers has no common factors except 1. So, there LCM is their product i.e 10058866

Least Common Multiple of 17,677,874 with GCF Formula

Least Common Multiple of 17,677,874 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 17,677,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,677,874) = 1

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

GCF(17,677,874) x common factors =1 x 1 = 1

LCM(17,677,874) = ( 17 × 677 × 874 ) / 1

LCM(17,677,874) = 10058866 / 1

LCM(17,677,874) = 10058866


Lets's calculate GCF of 902,317,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10058866/1

Therefore the LCM of Fractions 17/902,677/317,874/738 is 10058866

Greatest Common Factor of 902,317,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,317,738 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 902,317,738 . The biggest common factor number is the GCF number.
So the greatest common factor 902,317,738 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 17/902, 677/317, 874/738

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 17/902, 677/317, 874/738?

Answer: LCM of Numerators as per given numbers 17/902, 677/317, 874/738 is

LCM of Numerators i.e. for 17,677,874 is 10058866

GCF of denominators i.e. for 902,317,738 is 1.

Thus, LCM of Fractions is 10058866.Finally, LCM of Fractions for 17/902, 677/317, 874/738 is 10058866.