Least Common Multiple of 906/45, 983/46, 285/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 906/45, 983/46, 285/463 quickly i.e. 84606810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/45, 983/46, 285/463 is 84606810.

LCM(906/45, 983/46, 285/463) = 84606810

LCM of 906/45, 983/46, 285/463

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 906/45,983/46,285/463

Given numbers are 906/45,983/46,285/463

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 906,983,285

Least Common Multiple of Numerators i.e. LCM of 906,983,285 is 84606810.

GCF of Denominators means GCF of 45,46,463 as per the given fractions.

GCF of 45,46,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,983,285

LCM of Fractions 906/45,983/46,285/463 is 84606810

3 906, 983, 285
302, 983, 95

∴ So the LCM of the given numbers is 3 x 302 x 983 x 95 = 84606810

Least Common Multiple of 906,983,285 with GCF Formula

Least Common Multiple of 906,983,285 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 906,983,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,983,285) = 1

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

GCF(906,983,285) x common factors =1 x 3 = 3

LCM(906,983,285) = ( 906 × 983 × 285 ) / 3

LCM(906,983,285) = 253820430 / 3

LCM(906,983,285) = 84606810


Lets's calculate GCF of 45,46,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84606810/1

Therefore the LCM of Fractions 906/45,983/46,285/463 is 84606810

Greatest Common Factor of 45,46,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,46,463 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 45,46,463 . The biggest common factor number is the GCF number.
So the greatest common factor 45,46,463 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 906/45, 983/46, 285/463

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 906/45, 983/46, 285/463?

Answer: LCM of Numerators as per given numbers 906/45, 983/46, 285/463 is

LCM of Numerators i.e. for 906,983,285 is 84606810

GCF of denominators i.e. for 45,46,463 is 1.

Thus, LCM of Fractions is 84606810.Finally, LCM of Fractions for 906/45, 983/46, 285/463 is 84606810.