Least Common Multiple of 488/25, 669/1217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/25, 669/1217 quickly i.e. 326472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/25, 669/1217 is 326472.

LCM(488/25, 669/1217) = 326472

LCM of 488/25, 669/1217

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 488/25,669/1217

Given numbers are 488/25,669/1217

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 488,669

Least Common Multiple of Numerators i.e. LCM of 488,669 is 326472.

GCF of Denominators means GCF of 25,1217 as per the given fractions.

GCF of 25,1217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,669

LCM of Fractions 488/25,669/1217 is 326472

Given numbers has no common factors except 1. So, there LCM is their product i.e 326472

Least Common Multiple of 488,669 with GCF Formula

Least Common Multiple of 488,669 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 488,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,669) = 1

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

GCF(488,669) x common factors =1 x 1 = 1

LCM(488,669) = ( 488 × 669 ) / 1

LCM(488,669) = 326472 / 1

LCM(488,669) = 326472


Lets's calculate GCF of 25,1217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326472/1

Therefore the LCM of Fractions 488/25,669/1217 is 326472

Greatest Common Factor of 25,1217 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,1217 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1,1217

Greatest Common Factor

We found the factors 25,1217 . The biggest common factor number is the GCF number.
So the greatest common factor 25,1217 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 488/25, 669/1217

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 488/25, 669/1217?

Answer: LCM of Numerators as per given numbers 488/25, 669/1217 is

LCM of Numerators i.e. for 488,669 is 326472

GCF of denominators i.e. for 25,1217 is 1.

Thus, LCM of Fractions is 326472.Finally, LCM of Fractions for 488/25, 669/1217 is 326472.