Least Common Multiple of 83/627, 477/284, 456/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/627, 477/284, 456/734 quickly i.e. 6017832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/627, 477/284, 456/734 is 6017832.

LCM(83/627, 477/284, 456/734) = 6017832

LCM of 83/627, 477/284, 456/734

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 83/627,477/284,456/734

Given numbers are 83/627,477/284,456/734

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 83,477,456

Least Common Multiple of Numerators i.e. LCM of 83,477,456 is 6017832.

GCF of Denominators means GCF of 627,284,734 as per the given fractions.

GCF of 627,284,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,477,456

LCM of Fractions 83/627,477/284,456/734 is 6017832

3 83, 477, 456
83, 159, 152

∴ So the LCM of the given numbers is 3 x 83 x 159 x 152 = 6017832

Least Common Multiple of 83,477,456 with GCF Formula

Least Common Multiple of 83,477,456 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 83,477,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,477,456) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,477,456) x common factors =1 x 3 = 3

LCM(83,477,456) = ( 83 × 477 × 456 ) / 3

LCM(83,477,456) = 18053496 / 3

LCM(83,477,456) = 6017832


Lets's calculate GCF of 627,284,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6017832/1

Therefore the LCM of Fractions 83/627,477/284,456/734 is 6017832

Greatest Common Factor of 627,284,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,284,734 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 627,284,734 . The biggest common factor number is the GCF number.
So the greatest common factor 627,284,734 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 83/627, 477/284, 456/734

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 83/627, 477/284, 456/734?

Answer: LCM of Numerators as per given numbers 83/627, 477/284, 456/734 is

LCM of Numerators i.e. for 83,477,456 is 6017832

GCF of denominators i.e. for 627,284,734 is 1.

Thus, LCM of Fractions is 6017832.Finally, LCM of Fractions for 83/627, 477/284, 456/734 is 6017832.