Least Common Multiple of 654/31, 662/62, 225/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 654/31, 662/62, 225/906 quickly i.e. 16235550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/31, 662/62, 225/906 is 16235550.

LCM(654/31, 662/62, 225/906) = 16235550

LCM of 654/31, 662/62, 225/906

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 654/31,662/62,225/906

Given numbers are 654/31,662/62,225/906

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 654,662,225

Least Common Multiple of Numerators i.e. LCM of 654,662,225 is 16235550.

GCF of Denominators means GCF of 31,62,906 as per the given fractions.

GCF of 31,62,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,662,225

LCM of Fractions 654/31,662/62,225/906 is 16235550

2 654, 662, 225
3 327, 331, 225
109, 331, 75

∴ So the LCM of the given numbers is 2 x 3 x 109 x 331 x 75 = 16235550

Least Common Multiple of 654,662,225 with GCF Formula

Least Common Multiple of 654,662,225 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 654,662,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,662,225) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(654,662,225) x common factors =1 x 6 = 6

LCM(654,662,225) = ( 654 × 662 × 225 ) / 6

LCM(654,662,225) = 97413300 / 6

LCM(654,662,225) = 16235550


Lets's calculate GCF of 31,62,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16235550/1

Therefore the LCM of Fractions 654/31,662/62,225/906 is 16235550

Greatest Common Factor of 31,62,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,62,906 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 31,62,906 . The biggest common factor number is the GCF number.
So the greatest common factor 31,62,906 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 654/31, 662/62, 225/906

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 654/31, 662/62, 225/906?

Answer: LCM of Numerators as per given numbers 654/31, 662/62, 225/906 is

LCM of Numerators i.e. for 654,662,225 is 16235550

GCF of denominators i.e. for 31,62,906 is 1.

Thus, LCM of Fractions is 16235550.Finally, LCM of Fractions for 654/31, 662/62, 225/906 is 16235550.