Least Common Multiple of 5676/421, 3805/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5676/421, 3805/887 quickly i.e. 21597180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5676/421, 3805/887 is 21597180.

LCM(5676/421, 3805/887) = 21597180

LCM of 5676/421, 3805/887

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 5676/421,3805/887

Given numbers are 5676/421,3805/887

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 5676,3805

Least Common Multiple of Numerators i.e. LCM of 5676,3805 is 21597180.

GCF of Denominators means GCF of 421,887 as per the given fractions.

GCF of 421,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5676,3805

LCM of Fractions 5676/421,3805/887 is 21597180

Given numbers has no common factors except 1. So, there LCM is their product i.e 21597180

Least Common Multiple of 5676,3805 with GCF Formula

Least Common Multiple of 5676,3805 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 5676,3805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5676,3805) = 1

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

GCF(5676,3805) x common factors =1 x 1 = 1

LCM(5676,3805) = ( 5676 × 3805 ) / 1

LCM(5676,3805) = 21597180 / 1

LCM(5676,3805) = 21597180


Lets's calculate GCF of 421,887

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21597180/1

Therefore the LCM of Fractions 5676/421,3805/887 is 21597180

Greatest Common Factor of 421,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,887 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 421,887 . The biggest common factor number is the GCF number.
So the greatest common factor 421,887 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5676/421, 3805/887

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 5676/421, 3805/887?

Answer: LCM of Numerators as per given numbers 5676/421, 3805/887 is

LCM of Numerators i.e. for 5676,3805 is 21597180

GCF of denominators i.e. for 421,887 is 1.

Thus, LCM of Fractions is 21597180.Finally, LCM of Fractions for 5676/421, 3805/887 is 21597180.