Least Common Multiple of 39/71, 17/98, 312/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/71, 17/98, 312/222 quickly i.e. 5304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/71, 17/98, 312/222 is 5304.

LCM(39/71, 17/98, 312/222) = 5304

LCM of 39/71, 17/98, 312/222

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 39/71,17/98,312/222

Given numbers are 39/71,17/98,312/222

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 39,17,312

Least Common Multiple of Numerators i.e. LCM of 39,17,312 is 5304.

GCF of Denominators means GCF of 71,98,222 as per the given fractions.

GCF of 71,98,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,17,312

LCM of Fractions 39/71,17/98,312/222 is 5304

3 39, 17, 312
13 13, 17, 104
1, 17, 8

∴ So the LCM of the given numbers is 3 x 13 x 1 x 17 x 8 = 5304

Least Common Multiple of 39,17,312 with GCF Formula

Least Common Multiple of 39,17,312 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 39,17,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,17,312) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(39,17,312) x common factors =1 x 39 = 39

LCM(39,17,312) = ( 39 × 17 × 312 ) / 39

LCM(39,17,312) = 206856 / 39

LCM(39,17,312) = 5304


Lets's calculate GCF of 71,98,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5304/1

Therefore the LCM of Fractions 39/71,17/98,312/222 is 5304

Greatest Common Factor of 71,98,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,98,222 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 71,98,222 . The biggest common factor number is the GCF number.
So the greatest common factor 71,98,222 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 39/71, 17/98, 312/222

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 39/71, 17/98, 312/222?

Answer: LCM of Numerators as per given numbers 39/71, 17/98, 312/222 is

LCM of Numerators i.e. for 39,17,312 is 5304

GCF of denominators i.e. for 71,98,222 is 1.

Thus, LCM of Fractions is 5304.Finally, LCM of Fractions for 39/71, 17/98, 312/222 is 5304.