Least Common Multiple of 714/443, 8421/4988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/443, 8421/4988 quickly i.e. 286314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/443, 8421/4988 is 286314.

LCM(714/443, 8421/4988) = 286314

LCM of 714/443, 8421/4988

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 714/443,8421/4988

Given numbers are 714/443,8421/4988

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 714,8421

Least Common Multiple of Numerators i.e. LCM of 714,8421 is 286314.

GCF of Denominators means GCF of 443,4988 as per the given fractions.

GCF of 443,4988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,8421

LCM of Fractions 714/443,8421/4988 is 286314

3 714, 8421
7 238, 2807
34, 401

∴ So the LCM of the given numbers is 3 x 7 x 34 x 401 = 286314

Least Common Multiple of 714,8421 with GCF Formula

Least Common Multiple of 714,8421 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 714,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,8421) = 21

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

GCF(714,8421) x common factors =21 x 1 = 21

LCM(714,8421) = ( 714 × 8421 ) / 21

LCM(714,8421) = 6012594 / 21

LCM(714,8421) = 286314


Lets's calculate GCF of 443,4988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286314/1

Therefore the LCM of Fractions 714/443,8421/4988 is 286314

Greatest Common Factor of 443,4988 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,4988 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1,2,4,29,43,58,86,116,172,1247,2494,4988

Greatest Common Factor

We found the factors 443,4988 . The biggest common factor number is the GCF number.
So the greatest common factor 443,4988 is 1.


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 714/443, 8421/4988

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 714/443, 8421/4988?

Answer: LCM of Numerators as per given numbers 714/443, 8421/4988 is

LCM of Numerators i.e. for 714,8421 is 286314

GCF of denominators i.e. for 443,4988 is 1.

Thus, LCM of Fractions is 286314.Finally, LCM of Fractions for 714/443, 8421/4988 is 286314.