Least Common Multiple of 39/50, 30/98, 655/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/50, 30/98, 655/290 quickly i.e. 25545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/50, 30/98, 655/290 is 25545.

LCM(39/50, 30/98, 655/290) = 25545

LCM of 39/50, 30/98, 655/290

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 39/50,30/98,655/290

Given numbers are 39/50,30/98,655/290

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 39,30,655

Least Common Multiple of Numerators i.e. LCM of 39,30,655 is 51090.

GCF of Denominators means GCF of 50,98,290 as per the given fractions.

GCF of 50,98,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,30,655

LCM of Fractions 39/50,30/98,655/290 is 25545

3 39, 30, 655
5 13, 10, 655
13, 2, 131

∴ So the LCM of the given numbers is 3 x 5 x 13 x 2 x 131 = 51090

Least Common Multiple of 39,30,655 with GCF Formula

Least Common Multiple of 39,30,655 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 39,30,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,30,655) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(39,30,655) x common factors =1 x 15 = 15

LCM(39,30,655) = ( 39 × 30 × 655 ) / 15

LCM(39,30,655) = 766350 / 15

LCM(39,30,655) = 51090


Lets's calculate GCF of 50,98,290

2 50, 98, 290
25, 49, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51090/2

Therefore the LCM of Fractions 39/50,30/98,655/290 is 25545

Greatest Common Factor of 50,98,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,98,290 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 98

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

1,2,7,14,49,98

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 50,98,290 . The biggest common factor number is the GCF number.
So the greatest common factor 50,98,290 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/50, 30/98, 655/290

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 39/50, 30/98, 655/290?

Answer: LCM of Numerators as per given numbers 39/50, 30/98, 655/290 is

LCM of Numerators i.e. for 39,30,655 is 51090

GCF of denominators i.e. for 50,98,290 is 2.

Thus, LCM of Fractions is 25545.Finally, LCM of Fractions for 39/50, 30/98, 655/290 is 25545.