Least Common Multiple of 53/30, 723/37, 773/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/30, 723/37, 773/626 quickly i.e. 29620587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/30, 723/37, 773/626 is 29620587.

LCM(53/30, 723/37, 773/626) = 29620587

LCM of 53/30, 723/37, 773/626

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 53/30,723/37,773/626

Given numbers are 53/30,723/37,773/626

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 53,723,773

Least Common Multiple of Numerators i.e. LCM of 53,723,773 is 29620587.

GCF of Denominators means GCF of 30,37,626 as per the given fractions.

GCF of 30,37,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,723,773

LCM of Fractions 53/30,723/37,773/626 is 29620587

Given numbers has no common factors except 1. So, there LCM is their product i.e 29620587

Least Common Multiple of 53,723,773 with GCF Formula

Least Common Multiple of 53,723,773 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 53,723,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,723,773) = 1

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

GCF(53,723,773) x common factors =1 x 1 = 1

LCM(53,723,773) = ( 53 × 723 × 773 ) / 1

LCM(53,723,773) = 29620587 / 1

LCM(53,723,773) = 29620587


Lets's calculate GCF of 30,37,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29620587/1

Therefore the LCM of Fractions 53/30,723/37,773/626 is 29620587

Greatest Common Factor of 30,37,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,37,626 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 30,37,626 . The biggest common factor number is the GCF number.
So the greatest common factor 30,37,626 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/30, 723/37, 773/626

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 53/30, 723/37, 773/626?

Answer: LCM of Numerators as per given numbers 53/30, 723/37, 773/626 is

LCM of Numerators i.e. for 53,723,773 is 29620587

GCF of denominators i.e. for 30,37,626 is 1.

Thus, LCM of Fractions is 29620587.Finally, LCM of Fractions for 53/30, 723/37, 773/626 is 29620587.