Least Common Multiple of 234/734, 5977/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/734, 5977/460 quickly i.e. 699309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/734, 5977/460 is 699309.

LCM(234/734, 5977/460) = 699309

LCM of 234/734, 5977/460

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 234/734,5977/460

Given numbers are 234/734,5977/460

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 234,5977

Least Common Multiple of Numerators i.e. LCM of 234,5977 is 1398618.

GCF of Denominators means GCF of 734,460 as per the given fractions.

GCF of 734,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,5977

LCM of Fractions 234/734,5977/460 is 699309

Given numbers has no common factors except 1. So, there LCM is their product i.e 1398618

Least Common Multiple of 234,5977 with GCF Formula

Least Common Multiple of 234,5977 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 234,5977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,5977) = 1

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

GCF(234,5977) x common factors =1 x 1 = 1

LCM(234,5977) = ( 234 × 5977 ) / 1

LCM(234,5977) = 1398618 / 1

LCM(234,5977) = 1398618


Lets's calculate GCF of 734,460

2 734, 460
367, 230

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1398618/2

Therefore the LCM of Fractions 234/734,5977/460 is 699309

Greatest Common Factor of 734,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,460 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 734,460 . The biggest common factor number is the GCF number.
So the greatest common factor 734,460 is 2.


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 234/734, 5977/460

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 234/734, 5977/460?

Answer: LCM of Numerators as per given numbers 234/734, 5977/460 is

LCM of Numerators i.e. for 234,5977 is 1398618

GCF of denominators i.e. for 734,460 is 2.

Thus, LCM of Fractions is 699309.Finally, LCM of Fractions for 234/734, 5977/460 is 699309.