Least Common Multiple of 622/84, 272/36, 578/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 622/84, 272/36, 578/906 quickly i.e. 1438064/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/84, 272/36, 578/906 is 1438064/6.

LCM(622/84, 272/36, 578/906) = 1438064/6

LCM of 622/84, 272/36, 578/906

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 622/84,272/36,578/906

Given numbers are 622/84,272/36,578/906

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 622,272,578

Least Common Multiple of Numerators i.e. LCM of 622,272,578 is 1438064.

GCF of Denominators means GCF of 84,36,906 as per the given fractions.

GCF of 84,36,906 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,272,578

LCM of Fractions 622/84,272/36,578/906 is 1438064/6

2 622, 272, 578
17 311, 136, 289
311, 8, 17

∴ So the LCM of the given numbers is 2 x 17 x 311 x 8 x 17 = 1438064

Least Common Multiple of 622,272,578 with GCF Formula

Least Common Multiple of 622,272,578 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 622,272,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,272,578) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(622,272,578) x common factors =2 x 34 = 68

LCM(622,272,578) = ( 622 × 272 × 578 ) / 68

LCM(622,272,578) = 97788352 / 68

LCM(622,272,578) = 1438064


Lets's calculate GCF of 84,36,906

2 84, 36, 906
3 42, 18, 453
14, 6, 151

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1438064/6

Therefore the LCM of Fractions 622/84,272/36,578/906 is 1438064/6

Greatest Common Factor of 84,36,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,36,906 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 84,36,906 . The biggest common factor number is the GCF number.
So the greatest common factor 84,36,906 is 6.


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 622/84, 272/36, 578/906

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 622/84, 272/36, 578/906?

Answer: LCM of Numerators as per given numbers 622/84, 272/36, 578/906 is

LCM of Numerators i.e. for 622,272,578 is 1438064

GCF of denominators i.e. for 84,36,906 is 6.

Thus, LCM of Fractions is 1438064/6.Finally, LCM of Fractions for 622/84, 272/36, 578/906 is 1438064/6.