Least Common Multiple of 17/918, 866/300, 357/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/918, 866/300, 357/796 quickly i.e. 154581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/918, 866/300, 357/796 is 154581.

LCM(17/918, 866/300, 357/796) = 154581

LCM of 17/918, 866/300, 357/796

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 17/918,866/300,357/796

Given numbers are 17/918,866/300,357/796

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 17,866,357

Least Common Multiple of Numerators i.e. LCM of 17,866,357 is 309162.

GCF of Denominators means GCF of 918,300,796 as per the given fractions.

GCF of 918,300,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,866,357

LCM of Fractions 17/918,866/300,357/796 is 154581

17 17, 866, 357
1, 866, 21

∴ So the LCM of the given numbers is 17 x 1 x 866 x 21 = 309162

Least Common Multiple of 17,866,357 with GCF Formula

Least Common Multiple of 17,866,357 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 17,866,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,866,357) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,866,357) x common factors =1 x 17 = 17

LCM(17,866,357) = ( 17 × 866 × 357 ) / 17

LCM(17,866,357) = 5255754 / 17

LCM(17,866,357) = 309162


Lets's calculate GCF of 918,300,796

2 918, 300, 796
459, 150, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309162/2

Therefore the LCM of Fractions 17/918,866/300,357/796 is 154581

Greatest Common Factor of 918,300,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,300,796 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

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 918,300,796 . The biggest common factor number is the GCF number.
So the greatest common factor 918,300,796 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 17/918, 866/300, 357/796

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 17/918, 866/300, 357/796?

Answer: LCM of Numerators as per given numbers 17/918, 866/300, 357/796 is

LCM of Numerators i.e. for 17,866,357 is 309162

GCF of denominators i.e. for 918,300,796 is 2.

Thus, LCM of Fractions is 154581.Finally, LCM of Fractions for 17/918, 866/300, 357/796 is 154581.