Least Common Multiple of 9875/130, 6284/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9875/130, 6284/486 quickly i.e. 31027250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9875/130, 6284/486 is 31027250.

LCM(9875/130, 6284/486) = 31027250

LCM of 9875/130, 6284/486

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 9875/130,6284/486

Given numbers are 9875/130,6284/486

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 9875,6284

Least Common Multiple of Numerators i.e. LCM of 9875,6284 is 62054500.

GCF of Denominators means GCF of 130,486 as per the given fractions.

GCF of 130,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9875,6284

LCM of Fractions 9875/130,6284/486 is 31027250

Given numbers has no common factors except 1. So, there LCM is their product i.e 62054500

Least Common Multiple of 9875,6284 with GCF Formula

Least Common Multiple of 9875,6284 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 9875,6284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9875,6284) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9875,6284) x common factors =1 x 1 = 1

LCM(9875,6284) = ( 9875 × 6284 ) / 1

LCM(9875,6284) = 62054500 / 1

LCM(9875,6284) = 62054500


Lets's calculate GCF of 130,486

2 130, 486
65, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62054500/2

Therefore the LCM of Fractions 9875/130,6284/486 is 31027250

Greatest Common Factor of 130,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,486 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 130,486 . The biggest common factor number is the GCF number.
So the greatest common factor 130,486 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 9875/130, 6284/486

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 9875/130, 6284/486?

Answer: LCM of Numerators as per given numbers 9875/130, 6284/486 is

LCM of Numerators i.e. for 9875,6284 is 62054500

GCF of denominators i.e. for 130,486 is 2.

Thus, LCM of Fractions is 31027250.Finally, LCM of Fractions for 9875/130, 6284/486 is 31027250.