Least Common Multiple of 817/46, 628/29, 469/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/46, 628/29, 469/549 quickly i.e. 240632644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/46, 628/29, 469/549 is 240632644.

LCM(817/46, 628/29, 469/549) = 240632644

LCM of 817/46, 628/29, 469/549

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 817/46,628/29,469/549

Given numbers are 817/46,628/29,469/549

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 817,628,469

Least Common Multiple of Numerators i.e. LCM of 817,628,469 is 240632644.

GCF of Denominators means GCF of 46,29,549 as per the given fractions.

GCF of 46,29,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,628,469

LCM of Fractions 817/46,628/29,469/549 is 240632644

Given numbers has no common factors except 1. So, there LCM is their product i.e 240632644

Least Common Multiple of 817,628,469 with GCF Formula

Least Common Multiple of 817,628,469 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 817,628,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,628,469) = 1

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

GCF(817,628,469) x common factors =1 x 1 = 1

LCM(817,628,469) = ( 817 × 628 × 469 ) / 1

LCM(817,628,469) = 240632644 / 1

LCM(817,628,469) = 240632644


Lets's calculate GCF of 46,29,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240632644/1

Therefore the LCM of Fractions 817/46,628/29,469/549 is 240632644

Greatest Common Factor of 46,29,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,29,549 By Matching Biggest Common Factor Method

Factors of 46

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

1,2,23,46

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 46,29,549 . The biggest common factor number is the GCF number.
So the greatest common factor 46,29,549 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 817/46, 628/29, 469/549

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 817/46, 628/29, 469/549?

Answer: LCM of Numerators as per given numbers 817/46, 628/29, 469/549 is

LCM of Numerators i.e. for 817,628,469 is 240632644

GCF of denominators i.e. for 46,29,549 is 1.

Thus, LCM of Fractions is 240632644.Finally, LCM of Fractions for 817/46, 628/29, 469/549 is 240632644.