Least Common Multiple of 560/704, 428/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/704, 428/230 quickly i.e. 29960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/704, 428/230 is 29960.

LCM(560/704, 428/230) = 29960

LCM of 560/704, 428/230

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 560/704,428/230

Given numbers are 560/704,428/230

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 560,428

Least Common Multiple of Numerators i.e. LCM of 560,428 is 59920.

GCF of Denominators means GCF of 704,230 as per the given fractions.

GCF of 704,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,428

LCM of Fractions 560/704,428/230 is 29960

2 560, 428
2 280, 214
140, 107

∴ So the LCM of the given numbers is 2 x 2 x 140 x 107 = 59920

Least Common Multiple of 560,428 with GCF Formula

Least Common Multiple of 560,428 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 560,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,428) = 4

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

GCF(560,428) x common factors =4 x 1 = 4

LCM(560,428) = ( 560 × 428 ) / 4

LCM(560,428) = 239680 / 4

LCM(560,428) = 59920


Lets's calculate GCF of 704,230

2 704, 230
352, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59920/2

Therefore the LCM of Fractions 560/704,428/230 is 29960

Greatest Common Factor of 704,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,230 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 704,230 . The biggest common factor number is the GCF number.
So the greatest common factor 704,230 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 560/704, 428/230

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 560/704, 428/230?

Answer: LCM of Numerators as per given numbers 560/704, 428/230 is

LCM of Numerators i.e. for 560,428 is 59920

GCF of denominators i.e. for 704,230 is 2.

Thus, LCM of Fractions is 29960.Finally, LCM of Fractions for 560/704, 428/230 is 29960.