Least Common Multiple of 30/325, 958/733, 756/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/325, 958/733, 756/999 quickly i.e. 1810620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/325, 958/733, 756/999 is 1810620.

LCM(30/325, 958/733, 756/999) = 1810620

LCM of 30/325, 958/733, 756/999

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 30/325,958/733,756/999

Given numbers are 30/325,958/733,756/999

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 30,958,756

Least Common Multiple of Numerators i.e. LCM of 30,958,756 is 1810620.

GCF of Denominators means GCF of 325,733,999 as per the given fractions.

GCF of 325,733,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,958,756

LCM of Fractions 30/325,958/733,756/999 is 1810620

2 30, 958, 756
3 15, 479, 378
5, 479, 126

∴ So the LCM of the given numbers is 2 x 3 x 5 x 479 x 126 = 1810620

Least Common Multiple of 30,958,756 with GCF Formula

Least Common Multiple of 30,958,756 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 30,958,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,958,756) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,958,756) x common factors =2 x 6 = 12

LCM(30,958,756) = ( 30 × 958 × 756 ) / 12

LCM(30,958,756) = 21727440 / 12

LCM(30,958,756) = 1810620


Lets's calculate GCF of 325,733,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810620/1

Therefore the LCM of Fractions 30/325,958/733,756/999 is 1810620

Greatest Common Factor of 325,733,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,733,999 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 325,733,999 . The biggest common factor number is the GCF number.
So the greatest common factor 325,733,999 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 30/325, 958/733, 756/999

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 30/325, 958/733, 756/999?

Answer: LCM of Numerators as per given numbers 30/325, 958/733, 756/999 is

LCM of Numerators i.e. for 30,958,756 is 1810620

GCF of denominators i.e. for 325,733,999 is 1.

Thus, LCM of Fractions is 1810620.Finally, LCM of Fractions for 30/325, 958/733, 756/999 is 1810620.