Least Common Multiple of 734/683, 561/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/683, 561/456 quickly i.e. 411774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/683, 561/456 is 411774.

LCM(734/683, 561/456) = 411774

LCM of 734/683, 561/456

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 734/683,561/456

Given numbers are 734/683,561/456

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 734,561

Least Common Multiple of Numerators i.e. LCM of 734,561 is 411774.

GCF of Denominators means GCF of 683,456 as per the given fractions.

GCF of 683,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,561

LCM of Fractions 734/683,561/456 is 411774

Given numbers has no common factors except 1. So, there LCM is their product i.e 411774

Least Common Multiple of 734,561 with GCF Formula

Least Common Multiple of 734,561 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 734,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,561) = 1

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

GCF(734,561) x common factors =1 x 1 = 1

LCM(734,561) = ( 734 × 561 ) / 1

LCM(734,561) = 411774 / 1

LCM(734,561) = 411774


Lets's calculate GCF of 683,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411774/1

Therefore the LCM of Fractions 734/683,561/456 is 411774

Greatest Common Factor of 683,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,456 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 683,456 . The biggest common factor number is the GCF number.
So the greatest common factor 683,456 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 734/683, 561/456

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 734/683, 561/456?

Answer: LCM of Numerators as per given numbers 734/683, 561/456 is

LCM of Numerators i.e. for 734,561 is 411774

GCF of denominators i.e. for 683,456 is 1.

Thus, LCM of Fractions is 411774.Finally, LCM of Fractions for 734/683, 561/456 is 411774.