Least Common Multiple of 629/73, 958/14, 764/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 629/73, 958/14, 764/649 quickly i.e. 230186324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 629/73, 958/14, 764/649 is 230186324.

LCM(629/73, 958/14, 764/649) = 230186324

LCM of 629/73, 958/14, 764/649

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 629/73,958/14,764/649

Given numbers are 629/73,958/14,764/649

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 629,958,764

Least Common Multiple of Numerators i.e. LCM of 629,958,764 is 230186324.

GCF of Denominators means GCF of 73,14,649 as per the given fractions.

GCF of 73,14,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 629,958,764

LCM of Fractions 629/73,958/14,764/649 is 230186324

2 629, 958, 764
629, 479, 382

∴ So the LCM of the given numbers is 2 x 629 x 479 x 382 = 230186324

Least Common Multiple of 629,958,764 with GCF Formula

Least Common Multiple of 629,958,764 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 629,958,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,958,764) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(629,958,764) x common factors =1 x 2 = 2

LCM(629,958,764) = ( 629 × 958 × 764 ) / 2

LCM(629,958,764) = 460372648 / 2

LCM(629,958,764) = 230186324


Lets's calculate GCF of 73,14,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230186324/1

Therefore the LCM of Fractions 629/73,958/14,764/649 is 230186324

Greatest Common Factor of 73,14,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,14,649 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 73,14,649 . The biggest common factor number is the GCF number.
So the greatest common factor 73,14,649 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 629/73, 958/14, 764/649

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 629/73, 958/14, 764/649?

Answer: LCM of Numerators as per given numbers 629/73, 958/14, 764/649 is

LCM of Numerators i.e. for 629,958,764 is 230186324

GCF of denominators i.e. for 73,14,649 is 1.

Thus, LCM of Fractions is 230186324.Finally, LCM of Fractions for 629/73, 958/14, 764/649 is 230186324.