Least Common Multiple of 640/489, 2604/9702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 640/489, 2604/9702 quickly i.e. 138880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 640/489, 2604/9702 is 138880.

LCM(640/489, 2604/9702) = 138880

LCM of 640/489, 2604/9702

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 640/489,2604/9702

Given numbers are 640/489,2604/9702

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 640,2604

Least Common Multiple of Numerators i.e. LCM of 640,2604 is 416640.

GCF of Denominators means GCF of 489,9702 as per the given fractions.

GCF of 489,9702 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 640,2604

LCM of Fractions 640/489,2604/9702 is 138880

2 640, 2604
2 320, 1302
160, 651

∴ So the LCM of the given numbers is 2 x 2 x 160 x 651 = 416640

Least Common Multiple of 640,2604 with GCF Formula

Least Common Multiple of 640,2604 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 640,2604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,2604) = 4

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

GCF(640,2604) x common factors =4 x 1 = 4

LCM(640,2604) = ( 640 × 2604 ) / 4

LCM(640,2604) = 1666560 / 4

LCM(640,2604) = 416640


Lets's calculate GCF of 489,9702

3 489, 9702
163, 3234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416640/3

Therefore the LCM of Fractions 640/489,2604/9702 is 138880

Greatest Common Factor of 489,9702 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,9702 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702

Greatest Common Factor

We found the factors 489,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 489,9702 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 640/489, 2604/9702

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 640/489, 2604/9702?

Answer: LCM of Numerators as per given numbers 640/489, 2604/9702 is

LCM of Numerators i.e. for 640,2604 is 416640

GCF of denominators i.e. for 489,9702 is 3.

Thus, LCM of Fractions is 138880.Finally, LCM of Fractions for 640/489, 2604/9702 is 138880.