Least Common Multiple of 493/559, 856/729, 295/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/559, 856/729, 295/299 quickly i.e. 124492360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/559, 856/729, 295/299 is 124492360.

LCM(493/559, 856/729, 295/299) = 124492360

LCM of 493/559, 856/729, 295/299

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 493/559,856/729,295/299

Given numbers are 493/559,856/729,295/299

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 493,856,295

Least Common Multiple of Numerators i.e. LCM of 493,856,295 is 124492360.

GCF of Denominators means GCF of 559,729,299 as per the given fractions.

GCF of 559,729,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,856,295

LCM of Fractions 493/559,856/729,295/299 is 124492360

Given numbers has no common factors except 1. So, there LCM is their product i.e 124492360

Least Common Multiple of 493,856,295 with GCF Formula

Least Common Multiple of 493,856,295 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 493,856,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,856,295) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(493,856,295) x common factors =1 x 1 = 1

LCM(493,856,295) = ( 493 × 856 × 295 ) / 1

LCM(493,856,295) = 124492360 / 1

LCM(493,856,295) = 124492360


Lets's calculate GCF of 559,729,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124492360/1

Therefore the LCM of Fractions 493/559,856/729,295/299 is 124492360

Greatest Common Factor of 559,729,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,729,299 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 559,729,299 . The biggest common factor number is the GCF number.
So the greatest common factor 559,729,299 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 493/559, 856/729, 295/299

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 493/559, 856/729, 295/299?

Answer: LCM of Numerators as per given numbers 493/559, 856/729, 295/299 is

LCM of Numerators i.e. for 493,856,295 is 124492360

GCF of denominators i.e. for 559,729,299 is 1.

Thus, LCM of Fractions is 124492360.Finally, LCM of Fractions for 493/559, 856/729, 295/299 is 124492360.