Least Common Multiple of 734/521, 271/830, 744/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/521, 271/830, 744/937 quickly i.e. 73996008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/521, 271/830, 744/937 is 73996008.

LCM(734/521, 271/830, 744/937) = 73996008

LCM of 734/521, 271/830, 744/937

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 734/521,271/830,744/937

Given numbers are 734/521,271/830,744/937

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 734,271,744

Least Common Multiple of Numerators i.e. LCM of 734,271,744 is 73996008.

GCF of Denominators means GCF of 521,830,937 as per the given fractions.

GCF of 521,830,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,271,744

LCM of Fractions 734/521,271/830,744/937 is 73996008

2 734, 271, 744
367, 271, 372

∴ So the LCM of the given numbers is 2 x 367 x 271 x 372 = 73996008

Least Common Multiple of 734,271,744 with GCF Formula

Least Common Multiple of 734,271,744 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 734,271,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,271,744) = 1

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

GCF(734,271,744) x common factors =1 x 2 = 2

LCM(734,271,744) = ( 734 × 271 × 744 ) / 2

LCM(734,271,744) = 147992016 / 2

LCM(734,271,744) = 73996008


Lets's calculate GCF of 521,830,937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73996008/1

Therefore the LCM of Fractions 734/521,271/830,744/937 is 73996008

Greatest Common Factor of 521,830,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,830,937 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 521,830,937 . The biggest common factor number is the GCF number.
So the greatest common factor 521,830,937 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 734/521, 271/830, 744/937

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 734/521, 271/830, 744/937?

Answer: LCM of Numerators as per given numbers 734/521, 271/830, 744/937 is

LCM of Numerators i.e. for 734,271,744 is 73996008

GCF of denominators i.e. for 521,830,937 is 1.

Thus, LCM of Fractions is 73996008.Finally, LCM of Fractions for 734/521, 271/830, 744/937 is 73996008.