Least Common Multiple of 17/89, 37/94, 63/30, 18/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/89, 37/94, 63/30, 18/918 quickly i.e. 79254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/89, 37/94, 63/30, 18/918 is 79254.

LCM(17/89, 37/94, 63/30, 18/918) = 79254

LCM of 17/89, 37/94, 63/30, 18/918

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 17/89,37/94,63/30,18/918

Given numbers are 17/89,37/94,63/30,18/918

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 17,37,63,18

Least Common Multiple of Numerators i.e. LCM of 17,37,63,18 is 79254.

GCF of Denominators means GCF of 89,94,30,918 as per the given fractions.

GCF of 89,94,30,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,37,63,18

LCM of Fractions 17/89,37/94,63/30,18/918 is 79254

3 17, 37, 63, 18
3 17, 37, 21, 6
17, 37, 7, 2

∴ So the LCM of the given numbers is 3 x 3 x 17 x 37 x 7 x 2 = 79254

Least Common Multiple of 17,37,63,18 with GCF Formula

Least Common Multiple of 17,37,63,18 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 17,37,63,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,37,63,18) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(17,37,63,18) x common factors =1 x 9 = 9

LCM(17,37,63,18) = ( 17 × 37 × 63 × 18 ) / 9

LCM(17,37,63,18) = 713286 / 9

LCM(17,37,63,18) = 79254


Lets's calculate GCF of 89,94,30,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79254/1

Therefore the LCM of Fractions 17/89,37/94,63/30,18/918 is 79254

Greatest Common Factor of 89,94,30,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,94,30,918 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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

Greatest Common Factor

We found the factors 89,94,30,918 . The biggest common factor number is the GCF number.
So the greatest common factor 89,94,30,918 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 17/89, 37/94, 63/30, 18/918

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 17/89, 37/94, 63/30, 18/918?

Answer: LCM of Numerators as per given numbers 17/89, 37/94, 63/30, 18/918 is

LCM of Numerators i.e. for 17,37,63,18 is 79254

GCF of denominators i.e. for 89,94,30,918 is 1.

Thus, LCM of Fractions is 79254.Finally, LCM of Fractions for 17/89, 37/94, 63/30, 18/918 is 79254.