Least Common Multiple of 83/450, 901/563, 905/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/450, 901/563, 905/712 quickly i.e. 67678615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/450, 901/563, 905/712 is 67678615.

LCM(83/450, 901/563, 905/712) = 67678615

LCM of 83/450, 901/563, 905/712

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 83/450,901/563,905/712

Given numbers are 83/450,901/563,905/712

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 83,901,905

Least Common Multiple of Numerators i.e. LCM of 83,901,905 is 67678615.

GCF of Denominators means GCF of 450,563,712 as per the given fractions.

GCF of 450,563,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,901,905

LCM of Fractions 83/450,901/563,905/712 is 67678615

Given numbers has no common factors except 1. So, there LCM is their product i.e 67678615

Least Common Multiple of 83,901,905 with GCF Formula

Least Common Multiple of 83,901,905 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 83,901,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,901,905) = 1

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

GCF(83,901,905) x common factors =1 x 1 = 1

LCM(83,901,905) = ( 83 × 901 × 905 ) / 1

LCM(83,901,905) = 67678615 / 1

LCM(83,901,905) = 67678615


Lets's calculate GCF of 450,563,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67678615/1

Therefore the LCM of Fractions 83/450,901/563,905/712 is 67678615

Greatest Common Factor of 450,563,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,563,712 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 450,563,712 . The biggest common factor number is the GCF number.
So the greatest common factor 450,563,712 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 83/450, 901/563, 905/712

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 83/450, 901/563, 905/712?

Answer: LCM of Numerators as per given numbers 83/450, 901/563, 905/712 is

LCM of Numerators i.e. for 83,901,905 is 67678615

GCF of denominators i.e. for 450,563,712 is 1.

Thus, LCM of Fractions is 67678615.Finally, LCM of Fractions for 83/450, 901/563, 905/712 is 67678615.