Least Common Multiple of 8640/889, 2560/9590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8640/889, 2560/9590 quickly i.e. 69120/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8640/889, 2560/9590 is 69120/7.

LCM(8640/889, 2560/9590) = 69120/7

LCM of 8640/889, 2560/9590

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 8640/889,2560/9590

Given numbers are 8640/889,2560/9590

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 8640,2560

Least Common Multiple of Numerators i.e. LCM of 8640,2560 is 69120.

GCF of Denominators means GCF of 889,9590 as per the given fractions.

GCF of 889,9590 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8640,2560

LCM of Fractions 8640/889,2560/9590 is 69120/7

2 8640, 2560
2 4320, 1280
2 2160, 640
2 1080, 320
2 540, 160
2 270, 80
5 135, 40
27, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 27 x 8 = 69120

Least Common Multiple of 8640,2560 with GCF Formula

Least Common Multiple of 8640,2560 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 8640,2560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,2560) = 320

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

GCF(8640,2560) x common factors =320 x 1 = 320

LCM(8640,2560) = ( 8640 × 2560 ) / 320

LCM(8640,2560) = 22118400 / 320

LCM(8640,2560) = 69120


Lets's calculate GCF of 889,9590

7 889, 9590
127, 1370

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69120/7

Therefore the LCM of Fractions 8640/889,2560/9590 is 69120/7

Greatest Common Factor of 889,9590 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,9590 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590

Greatest Common Factor

We found the factors 889,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 889,9590 is 7.


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 8640/889, 2560/9590

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 8640/889, 2560/9590?

Answer: LCM of Numerators as per given numbers 8640/889, 2560/9590 is

LCM of Numerators i.e. for 8640,2560 is 69120

GCF of denominators i.e. for 889,9590 is 7.

Thus, LCM of Fractions is 69120/7.Finally, LCM of Fractions for 8640/889, 2560/9590 is 69120/7.