Least Common Multiple of 45/729, 643/238, 569/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/729, 643/238, 569/954 quickly i.e. 16464015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/729, 643/238, 569/954 is 16464015.

LCM(45/729, 643/238, 569/954) = 16464015

LCM of 45/729, 643/238, 569/954

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 45/729,643/238,569/954

Given numbers are 45/729,643/238,569/954

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 45,643,569

Least Common Multiple of Numerators i.e. LCM of 45,643,569 is 16464015.

GCF of Denominators means GCF of 729,238,954 as per the given fractions.

GCF of 729,238,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,643,569

LCM of Fractions 45/729,643/238,569/954 is 16464015

Given numbers has no common factors except 1. So, there LCM is their product i.e 16464015

Least Common Multiple of 45,643,569 with GCF Formula

Least Common Multiple of 45,643,569 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 45,643,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,643,569) = 1

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

GCF(45,643,569) x common factors =1 x 1 = 1

LCM(45,643,569) = ( 45 × 643 × 569 ) / 1

LCM(45,643,569) = 16464015 / 1

LCM(45,643,569) = 16464015


Lets's calculate GCF of 729,238,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16464015/1

Therefore the LCM of Fractions 45/729,643/238,569/954 is 16464015

Greatest Common Factor of 729,238,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,238,954 By Matching Biggest Common Factor Method

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 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 729,238,954 . The biggest common factor number is the GCF number.
So the greatest common factor 729,238,954 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 45/729, 643/238, 569/954

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 45/729, 643/238, 569/954?

Answer: LCM of Numerators as per given numbers 45/729, 643/238, 569/954 is

LCM of Numerators i.e. for 45,643,569 is 16464015

GCF of denominators i.e. for 729,238,954 is 1.

Thus, LCM of Fractions is 16464015.Finally, LCM of Fractions for 45/729, 643/238, 569/954 is 16464015.