Least Common Multiple of 560/692, 523/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/692, 523/188 quickly i.e. 73220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/692, 523/188 is 73220.

LCM(560/692, 523/188) = 73220

LCM of 560/692, 523/188

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 560/692,523/188

Given numbers are 560/692,523/188

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 560,523

Least Common Multiple of Numerators i.e. LCM of 560,523 is 292880.

GCF of Denominators means GCF of 692,188 as per the given fractions.

GCF of 692,188 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,523

LCM of Fractions 560/692,523/188 is 73220

Given numbers has no common factors except 1. So, there LCM is their product i.e 292880

Least Common Multiple of 560,523 with GCF Formula

Least Common Multiple of 560,523 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 560,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,523) = 1

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

GCF(560,523) x common factors =1 x 1 = 1

LCM(560,523) = ( 560 × 523 ) / 1

LCM(560,523) = 292880 / 1

LCM(560,523) = 292880


Lets's calculate GCF of 692,188

2 692, 188
2 346, 94
173, 47

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292880/4

Therefore the LCM of Fractions 560/692,523/188 is 73220

Greatest Common Factor of 692,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,188 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 692,188 . The biggest common factor number is the GCF number.
So the greatest common factor 692,188 is 4.


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 560/692, 523/188

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 560/692, 523/188?

Answer: LCM of Numerators as per given numbers 560/692, 523/188 is

LCM of Numerators i.e. for 560,523 is 292880

GCF of denominators i.e. for 692,188 is 4.

Thus, LCM of Fractions is 73220.Finally, LCM of Fractions for 560/692, 523/188 is 73220.