Least Common Multiple of 482/75, 907/98, 523/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 482/75, 907/98, 523/48 quickly i.e. 228642002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/75, 907/98, 523/48 is 228642002.

LCM(482/75, 907/98, 523/48) = 228642002

LCM of 482/75, 907/98, 523/48

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 482/75,907/98,523/48

Given numbers are 482/75,907/98,523/48

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 482,907,523

Least Common Multiple of Numerators i.e. LCM of 482,907,523 is 228642002.

GCF of Denominators means GCF of 75,98,48 as per the given fractions.

GCF of 75,98,48 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,907,523

LCM of Fractions 482/75,907/98,523/48 is 228642002

Given numbers has no common factors except 1. So, there LCM is their product i.e 228642002

Least Common Multiple of 482,907,523 with GCF Formula

Least Common Multiple of 482,907,523 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 482,907,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,907,523) = 1

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

GCF(482,907,523) x common factors =1 x 1 = 1

LCM(482,907,523) = ( 482 × 907 × 523 ) / 1

LCM(482,907,523) = 228642002 / 1

LCM(482,907,523) = 228642002


Lets's calculate GCF of 75,98,48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228642002/1

Therefore the LCM of Fractions 482/75,907/98,523/48 is 228642002

Greatest Common Factor of 75,98,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,98,48 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 98

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

1,2,7,14,49,98

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 75,98,48 . The biggest common factor number is the GCF number.
So the greatest common factor 75,98,48 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 482/75, 907/98, 523/48

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 482/75, 907/98, 523/48?

Answer: LCM of Numerators as per given numbers 482/75, 907/98, 523/48 is

LCM of Numerators i.e. for 482,907,523 is 228642002

GCF of denominators i.e. for 75,98,48 is 1.

Thus, LCM of Fractions is 228642002.Finally, LCM of Fractions for 482/75, 907/98, 523/48 is 228642002.