Least Common Multiple of 990/68, 349/30, 312/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 990/68, 349/30, 312/160 quickly i.e. 8983260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/68, 349/30, 312/160 is 8983260.

LCM(990/68, 349/30, 312/160) = 8983260

LCM of 990/68, 349/30, 312/160

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 990/68,349/30,312/160

Given numbers are 990/68,349/30,312/160

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 990,349,312

Least Common Multiple of Numerators i.e. LCM of 990,349,312 is 17966520.

GCF of Denominators means GCF of 68,30,160 as per the given fractions.

GCF of 68,30,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,349,312

LCM of Fractions 990/68,349/30,312/160 is 8983260

2 990, 349, 312
3 495, 349, 156
165, 349, 52

∴ So the LCM of the given numbers is 2 x 3 x 165 x 349 x 52 = 17966520

Least Common Multiple of 990,349,312 with GCF Formula

Least Common Multiple of 990,349,312 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 990,349,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,349,312) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(990,349,312) x common factors =1 x 6 = 6

LCM(990,349,312) = ( 990 × 349 × 312 ) / 6

LCM(990,349,312) = 107799120 / 6

LCM(990,349,312) = 17966520


Lets's calculate GCF of 68,30,160

2 68, 30, 160
34, 15, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17966520/2

Therefore the LCM of Fractions 990/68,349/30,312/160 is 8983260

Greatest Common Factor of 68,30,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,30,160 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 68,30,160 . The biggest common factor number is the GCF number.
So the greatest common factor 68,30,160 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 990/68, 349/30, 312/160

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 990/68, 349/30, 312/160?

Answer: LCM of Numerators as per given numbers 990/68, 349/30, 312/160 is

LCM of Numerators i.e. for 990,349,312 is 17966520

GCF of denominators i.e. for 68,30,160 is 2.

Thus, LCM of Fractions is 8983260.Finally, LCM of Fractions for 990/68, 349/30, 312/160 is 8983260.