Least Common Multiple of 736/37, 545/42, 721/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/37, 545/42, 721/626 quickly i.e. 289207520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/37, 545/42, 721/626 is 289207520.

LCM(736/37, 545/42, 721/626) = 289207520

LCM of 736/37, 545/42, 721/626

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 736/37,545/42,721/626

Given numbers are 736/37,545/42,721/626

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 736,545,721

Least Common Multiple of Numerators i.e. LCM of 736,545,721 is 289207520.

GCF of Denominators means GCF of 37,42,626 as per the given fractions.

GCF of 37,42,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,545,721

LCM of Fractions 736/37,545/42,721/626 is 289207520

Given numbers has no common factors except 1. So, there LCM is their product i.e 289207520

Least Common Multiple of 736,545,721 with GCF Formula

Least Common Multiple of 736,545,721 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 736,545,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,545,721) = 1

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

GCF(736,545,721) x common factors =1 x 1 = 1

LCM(736,545,721) = ( 736 × 545 × 721 ) / 1

LCM(736,545,721) = 289207520 / 1

LCM(736,545,721) = 289207520


Lets's calculate GCF of 37,42,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289207520/1

Therefore the LCM of Fractions 736/37,545/42,721/626 is 289207520

Greatest Common Factor of 37,42,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,42,626 By Matching Biggest Common Factor Method

Factors of 37

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

1,37

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 37,42,626 . The biggest common factor number is the GCF number.
So the greatest common factor 37,42,626 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 736/37, 545/42, 721/626

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 736/37, 545/42, 721/626?

Answer: LCM of Numerators as per given numbers 736/37, 545/42, 721/626 is

LCM of Numerators i.e. for 736,545,721 is 289207520

GCF of denominators i.e. for 37,42,626 is 1.

Thus, LCM of Fractions is 289207520.Finally, LCM of Fractions for 736/37, 545/42, 721/626 is 289207520.