Least Common Multiple of 535/463, 963/449, 747/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/463, 963/449, 747/659 quickly i.e. 399645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/463, 963/449, 747/659 is 399645.

LCM(535/463, 963/449, 747/659) = 399645

LCM of 535/463, 963/449, 747/659

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 535/463,963/449,747/659

Given numbers are 535/463,963/449,747/659

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 535,963,747

Least Common Multiple of Numerators i.e. LCM of 535,963,747 is 399645.

GCF of Denominators means GCF of 463,449,659 as per the given fractions.

GCF of 463,449,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,963,747

LCM of Fractions 535/463,963/449,747/659 is 399645

3 535, 963, 747
3 535, 321, 249
107 535, 107, 83
5, 1, 83

∴ So the LCM of the given numbers is 3 x 3 x 107 x 5 x 1 x 83 = 399645

Least Common Multiple of 535,963,747 with GCF Formula

Least Common Multiple of 535,963,747 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 535,963,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,963,747) = 1

common factors(in case of two or more numbers have common factors) = 963

GCF(535,963,747) x common factors =1 x 963 = 963

LCM(535,963,747) = ( 535 × 963 × 747 ) / 963

LCM(535,963,747) = 384858135 / 963

LCM(535,963,747) = 399645


Lets's calculate GCF of 463,449,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399645/1

Therefore the LCM of Fractions 535/463,963/449,747/659 is 399645

Greatest Common Factor of 463,449,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,449,659 By Matching Biggest Common Factor Method

Factors of 463

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

1,463

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 463,449,659 . The biggest common factor number is the GCF number.
So the greatest common factor 463,449,659 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 535/463, 963/449, 747/659

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 535/463, 963/449, 747/659?

Answer: LCM of Numerators as per given numbers 535/463, 963/449, 747/659 is

LCM of Numerators i.e. for 535,963,747 is 399645

GCF of denominators i.e. for 463,449,659 is 1.

Thus, LCM of Fractions is 399645.Finally, LCM of Fractions for 535/463, 963/449, 747/659 is 399645.