Least Common Multiple of 33/507, 814/440, 534/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/507, 814/440, 534/622 quickly i.e. 217338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/507, 814/440, 534/622 is 217338.

LCM(33/507, 814/440, 534/622) = 217338

LCM of 33/507, 814/440, 534/622

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 33/507,814/440,534/622

Given numbers are 33/507,814/440,534/622

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 33,814,534

Least Common Multiple of Numerators i.e. LCM of 33,814,534 is 217338.

GCF of Denominators means GCF of 507,440,622 as per the given fractions.

GCF of 507,440,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,814,534

LCM of Fractions 33/507,814/440,534/622 is 217338

2 33, 814, 534
3 33, 407, 267
11 11, 407, 89
1, 37, 89

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 37 x 89 = 217338

Least Common Multiple of 33,814,534 with GCF Formula

Least Common Multiple of 33,814,534 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 33,814,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,814,534) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(33,814,534) x common factors =1 x 66 = 66

LCM(33,814,534) = ( 33 × 814 × 534 ) / 66

LCM(33,814,534) = 14344308 / 66

LCM(33,814,534) = 217338


Lets's calculate GCF of 507,440,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217338/1

Therefore the LCM of Fractions 33/507,814/440,534/622 is 217338

Greatest Common Factor of 507,440,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,440,622 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 507,440,622 . The biggest common factor number is the GCF number.
So the greatest common factor 507,440,622 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 33/507, 814/440, 534/622

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 33/507, 814/440, 534/622?

Answer: LCM of Numerators as per given numbers 33/507, 814/440, 534/622 is

LCM of Numerators i.e. for 33,814,534 is 217338

GCF of denominators i.e. for 507,440,622 is 1.

Thus, LCM of Fractions is 217338.Finally, LCM of Fractions for 33/507, 814/440, 534/622 is 217338.