Least Common Multiple of 39/490, 72/708, 187/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/490, 72/708, 187/304 quickly i.e. 87516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/490, 72/708, 187/304 is 87516.

LCM(39/490, 72/708, 187/304) = 87516

LCM of 39/490, 72/708, 187/304

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 39/490,72/708,187/304

Given numbers are 39/490,72/708,187/304

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 39,72,187

Least Common Multiple of Numerators i.e. LCM of 39,72,187 is 175032.

GCF of Denominators means GCF of 490,708,304 as per the given fractions.

GCF of 490,708,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,72,187

LCM of Fractions 39/490,72/708,187/304 is 87516

3 39, 72, 187
13, 24, 187

∴ So the LCM of the given numbers is 3 x 13 x 24 x 187 = 175032

Least Common Multiple of 39,72,187 with GCF Formula

Least Common Multiple of 39,72,187 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 39,72,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,72,187) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,72,187) x common factors =1 x 3 = 3

LCM(39,72,187) = ( 39 × 72 × 187 ) / 3

LCM(39,72,187) = 525096 / 3

LCM(39,72,187) = 175032


Lets's calculate GCF of 490,708,304

2 490, 708, 304
245, 354, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175032/2

Therefore the LCM of Fractions 39/490,72/708,187/304 is 87516

Greatest Common Factor of 490,708,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,708,304 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 490,708,304 . The biggest common factor number is the GCF number.
So the greatest common factor 490,708,304 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 39/490, 72/708, 187/304

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 39/490, 72/708, 187/304?

Answer: LCM of Numerators as per given numbers 39/490, 72/708, 187/304 is

LCM of Numerators i.e. for 39,72,187 is 175032

GCF of denominators i.e. for 490,708,304 is 2.

Thus, LCM of Fractions is 87516.Finally, LCM of Fractions for 39/490, 72/708, 187/304 is 87516.