Least Common Multiple of 6816/371, 4473/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6816/371, 4473/829 quickly i.e. 143136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6816/371, 4473/829 is 143136.

LCM(6816/371, 4473/829) = 143136

LCM of 6816/371, 4473/829

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 6816/371,4473/829

Given numbers are 6816/371,4473/829

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 6816,4473

Least Common Multiple of Numerators i.e. LCM of 6816,4473 is 143136.

GCF of Denominators means GCF of 371,829 as per the given fractions.

GCF of 371,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6816,4473

LCM of Fractions 6816/371,4473/829 is 143136

3 6816, 4473
71 2272, 1491
32, 21

∴ So the LCM of the given numbers is 3 x 71 x 32 x 21 = 143136

Least Common Multiple of 6816,4473 with GCF Formula

Least Common Multiple of 6816,4473 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 6816,4473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6816,4473) = 213

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

GCF(6816,4473) x common factors =213 x 1 = 213

LCM(6816,4473) = ( 6816 × 4473 ) / 213

LCM(6816,4473) = 30487968 / 213

LCM(6816,4473) = 143136


Lets's calculate GCF of 371,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143136/1

Therefore the LCM of Fractions 6816/371,4473/829 is 143136

Greatest Common Factor of 371,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,829 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 371,829 . The biggest common factor number is the GCF number.
So the greatest common factor 371,829 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 6816/371, 4473/829

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 6816/371, 4473/829?

Answer: LCM of Numerators as per given numbers 6816/371, 4473/829 is

LCM of Numerators i.e. for 6816,4473 is 143136

GCF of denominators i.e. for 371,829 is 1.

Thus, LCM of Fractions is 143136.Finally, LCM of Fractions for 6816/371, 4473/829 is 143136.