Least Common Multiple of 63/83, 14/39, 628/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/83, 14/39, 628/543 quickly i.e. 39564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/83, 14/39, 628/543 is 39564.

LCM(63/83, 14/39, 628/543) = 39564

LCM of 63/83, 14/39, 628/543

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 63/83,14/39,628/543

Given numbers are 63/83,14/39,628/543

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 63,14,628

Least Common Multiple of Numerators i.e. LCM of 63,14,628 is 39564.

GCF of Denominators means GCF of 83,39,543 as per the given fractions.

GCF of 83,39,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,14,628

LCM of Fractions 63/83,14/39,628/543 is 39564

2 63, 14, 628
7 63, 7, 314
9, 1, 314

∴ So the LCM of the given numbers is 2 x 7 x 9 x 1 x 314 = 39564

Least Common Multiple of 63,14,628 with GCF Formula

Least Common Multiple of 63,14,628 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 63,14,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,14,628) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(63,14,628) x common factors =1 x 14 = 14

LCM(63,14,628) = ( 63 × 14 × 628 ) / 14

LCM(63,14,628) = 553896 / 14

LCM(63,14,628) = 39564


Lets's calculate GCF of 83,39,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39564/1

Therefore the LCM of Fractions 63/83,14/39,628/543 is 39564

Greatest Common Factor of 83,39,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,39,543 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 83,39,543 . The biggest common factor number is the GCF number.
So the greatest common factor 83,39,543 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 63/83, 14/39, 628/543

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 63/83, 14/39, 628/543?

Answer: LCM of Numerators as per given numbers 63/83, 14/39, 628/543 is

LCM of Numerators i.e. for 63,14,628 is 39564

GCF of denominators i.e. for 83,39,543 is 1.

Thus, LCM of Fractions is 39564.Finally, LCM of Fractions for 63/83, 14/39, 628/543 is 39564.