Least Common Multiple of 489/30, 625/7791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/30, 625/7791 quickly i.e. 101875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/30, 625/7791 is 101875.

LCM(489/30, 625/7791) = 101875

LCM of 489/30, 625/7791

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 489/30,625/7791

Given numbers are 489/30,625/7791

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 489,625

Least Common Multiple of Numerators i.e. LCM of 489,625 is 305625.

GCF of Denominators means GCF of 30,7791 as per the given fractions.

GCF of 30,7791 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,625

LCM of Fractions 489/30,625/7791 is 101875

Given numbers has no common factors except 1. So, there LCM is their product i.e 305625

Least Common Multiple of 489,625 with GCF Formula

Least Common Multiple of 489,625 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 489,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,625) = 1

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

GCF(489,625) x common factors =1 x 1 = 1

LCM(489,625) = ( 489 × 625 ) / 1

LCM(489,625) = 305625 / 1

LCM(489,625) = 305625


Lets's calculate GCF of 30,7791

3 30, 7791
10, 2597

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305625/3

Therefore the LCM of Fractions 489/30,625/7791 is 101875

Greatest Common Factor of 30,7791 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,7791 By Matching Biggest Common Factor Method

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 7791

List of positive integer factors of 7791 that divides 7791 without a remainder.

1,3,7,21,49,53,147,159,371,1113,2597,7791

Greatest Common Factor

We found the factors 30,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 30,7791 is 3.


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 489/30, 625/7791

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 489/30, 625/7791?

Answer: LCM of Numerators as per given numbers 489/30, 625/7791 is

LCM of Numerators i.e. for 489,625 is 305625

GCF of denominators i.e. for 30,7791 is 3.

Thus, LCM of Fractions is 101875.Finally, LCM of Fractions for 489/30, 625/7791 is 101875.