Least Common Multiple of 9680/568, 2310/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9680/568, 2310/784 quickly i.e. 25410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9680/568, 2310/784 is 25410.

LCM(9680/568, 2310/784) = 25410

LCM of 9680/568, 2310/784

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 9680/568,2310/784

Given numbers are 9680/568,2310/784

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 9680,2310

Least Common Multiple of Numerators i.e. LCM of 9680,2310 is 203280.

GCF of Denominators means GCF of 568,784 as per the given fractions.

GCF of 568,784 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9680,2310

LCM of Fractions 9680/568,2310/784 is 25410

2 9680, 2310
5 4840, 1155
11 968, 231
88, 21

∴ So the LCM of the given numbers is 2 x 5 x 11 x 88 x 21 = 203280

Least Common Multiple of 9680,2310 with GCF Formula

Least Common Multiple of 9680,2310 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 9680,2310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9680,2310) = 110

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

GCF(9680,2310) x common factors =110 x 1 = 110

LCM(9680,2310) = ( 9680 × 2310 ) / 110

LCM(9680,2310) = 22360800 / 110

LCM(9680,2310) = 203280


Lets's calculate GCF of 568,784

2 568, 784
2 284, 392
2 142, 196
71, 98

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203280/8

Therefore the LCM of Fractions 9680/568,2310/784 is 25410

Greatest Common Factor of 568,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,784 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 568,784 . The biggest common factor number is the GCF number.
So the greatest common factor 568,784 is 8.


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 9680/568, 2310/784

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 9680/568, 2310/784?

Answer: LCM of Numerators as per given numbers 9680/568, 2310/784 is

LCM of Numerators i.e. for 9680,2310 is 203280

GCF of denominators i.e. for 568,784 is 8.

Thus, LCM of Fractions is 25410.Finally, LCM of Fractions for 9680/568, 2310/784 is 25410.