Least Common Multiple of 560/434, 1405/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/434, 1405/196 quickly i.e. 11240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/434, 1405/196 is 11240.

LCM(560/434, 1405/196) = 11240

LCM of 560/434, 1405/196

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 560/434,1405/196

Given numbers are 560/434,1405/196

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 560,1405

Least Common Multiple of Numerators i.e. LCM of 560,1405 is 157360.

GCF of Denominators means GCF of 434,196 as per the given fractions.

GCF of 434,196 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,1405

LCM of Fractions 560/434,1405/196 is 11240

5 560, 1405
112, 281

∴ So the LCM of the given numbers is 5 x 112 x 281 = 157360

Least Common Multiple of 560,1405 with GCF Formula

Least Common Multiple of 560,1405 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 560,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,1405) = 5

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

GCF(560,1405) x common factors =5 x 1 = 5

LCM(560,1405) = ( 560 × 1405 ) / 5

LCM(560,1405) = 786800 / 5

LCM(560,1405) = 157360


Lets's calculate GCF of 434,196

2 434, 196
7 217, 98
31, 14

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157360/14

Therefore the LCM of Fractions 560/434,1405/196 is 11240

Greatest Common Factor of 434,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,196 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 434,196 . The biggest common factor number is the GCF number.
So the greatest common factor 434,196 is 14.


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 560/434, 1405/196

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 560/434, 1405/196?

Answer: LCM of Numerators as per given numbers 560/434, 1405/196 is

LCM of Numerators i.e. for 560,1405 is 157360

GCF of denominators i.e. for 434,196 is 14.

Thus, LCM of Fractions is 11240.Finally, LCM of Fractions for 560/434, 1405/196 is 11240.