Least Common Multiple of 560/60, 640/8398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/60, 640/8398 quickly i.e. 2240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/60, 640/8398 is 2240.

LCM(560/60, 640/8398) = 2240

LCM of 560/60, 640/8398

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 560/60,640/8398

Given numbers are 560/60,640/8398

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 560,640

Least Common Multiple of Numerators i.e. LCM of 560,640 is 4480.

GCF of Denominators means GCF of 60,8398 as per the given fractions.

GCF of 60,8398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,640

LCM of Fractions 560/60,640/8398 is 2240

2 560, 640
2 280, 320
2 140, 160
2 70, 80
5 35, 40
7, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 8 = 4480

Least Common Multiple of 560,640 with GCF Formula

Least Common Multiple of 560,640 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 560,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,640) = 80

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

GCF(560,640) x common factors =80 x 1 = 80

LCM(560,640) = ( 560 × 640 ) / 80

LCM(560,640) = 358400 / 80

LCM(560,640) = 4480


Lets's calculate GCF of 60,8398

2 60, 8398
30, 4199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4480/2

Therefore the LCM of Fractions 560/60,640/8398 is 2240

Greatest Common Factor of 60,8398 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,8398 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Greatest Common Factor

We found the factors 60,8398 . The biggest common factor number is the GCF number.
So the greatest common factor 60,8398 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 560/60, 640/8398

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 560/60, 640/8398?

Answer: LCM of Numerators as per given numbers 560/60, 640/8398 is

LCM of Numerators i.e. for 560,640 is 4480

GCF of denominators i.e. for 60,8398 is 2.

Thus, LCM of Fractions is 2240.Finally, LCM of Fractions for 560/60, 640/8398 is 2240.