Least Common Multiple of 664/17, 237/26, 868/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/17, 237/26, 868/398 quickly i.e. 34148856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/17, 237/26, 868/398 is 34148856.

LCM(664/17, 237/26, 868/398) = 34148856

LCM of 664/17, 237/26, 868/398

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 664/17,237/26,868/398

Given numbers are 664/17,237/26,868/398

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 664,237,868

Least Common Multiple of Numerators i.e. LCM of 664,237,868 is 34148856.

GCF of Denominators means GCF of 17,26,398 as per the given fractions.

GCF of 17,26,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,237,868

LCM of Fractions 664/17,237/26,868/398 is 34148856

2 664, 237, 868
2 332, 237, 434
166, 237, 217

∴ So the LCM of the given numbers is 2 x 2 x 166 x 237 x 217 = 34148856

Least Common Multiple of 664,237,868 with GCF Formula

Least Common Multiple of 664,237,868 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 664,237,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,237,868) = 1

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

GCF(664,237,868) x common factors =1 x 4 = 4

LCM(664,237,868) = ( 664 × 237 × 868 ) / 4

LCM(664,237,868) = 136595424 / 4

LCM(664,237,868) = 34148856


Lets's calculate GCF of 17,26,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34148856/1

Therefore the LCM of Fractions 664/17,237/26,868/398 is 34148856

Greatest Common Factor of 17,26,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,26,398 By Matching Biggest Common Factor Method

Factors of 17

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

1,17

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 17,26,398 . The biggest common factor number is the GCF number.
So the greatest common factor 17,26,398 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 664/17, 237/26, 868/398

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 664/17, 237/26, 868/398?

Answer: LCM of Numerators as per given numbers 664/17, 237/26, 868/398 is

LCM of Numerators i.e. for 664,237,868 is 34148856

GCF of denominators i.e. for 17,26,398 is 1.

Thus, LCM of Fractions is 34148856.Finally, LCM of Fractions for 664/17, 237/26, 868/398 is 34148856.