Least Common Multiple of 4092/572, 1409/8827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4092/572, 1409/8827 quickly i.e. 5765628/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4092/572, 1409/8827 is 5765628/13.

LCM(4092/572, 1409/8827) = 5765628/13

LCM of 4092/572, 1409/8827

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 4092/572,1409/8827

Given numbers are 4092/572,1409/8827

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 4092,1409

Least Common Multiple of Numerators i.e. LCM of 4092,1409 is 5765628.

GCF of Denominators means GCF of 572,8827 as per the given fractions.

GCF of 572,8827 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4092,1409

LCM of Fractions 4092/572,1409/8827 is 5765628/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 5765628

Least Common Multiple of 4092,1409 with GCF Formula

Least Common Multiple of 4092,1409 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 4092,1409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4092,1409) = 1

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

GCF(4092,1409) x common factors =1 x 1 = 1

LCM(4092,1409) = ( 4092 × 1409 ) / 1

LCM(4092,1409) = 5765628 / 1

LCM(4092,1409) = 5765628


Lets's calculate GCF of 572,8827

13 572, 8827
44, 679

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5765628/13

Therefore the LCM of Fractions 4092/572,1409/8827 is 5765628/13

Greatest Common Factor of 572,8827 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,8827 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 8827

List of positive integer factors of 8827 that divides 8827 without a remainder.

1,7,13,91,97,679,1261,8827

Greatest Common Factor

We found the factors 572,8827 . The biggest common factor number is the GCF number.
So the greatest common factor 572,8827 is 13.


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 4092/572, 1409/8827

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 4092/572, 1409/8827?

Answer: LCM of Numerators as per given numbers 4092/572, 1409/8827 is

LCM of Numerators i.e. for 4092,1409 is 5765628

GCF of denominators i.e. for 572,8827 is 13.

Thus, LCM of Fractions is 5765628/13.Finally, LCM of Fractions for 4092/572, 1409/8827 is 5765628/13.