Least Common Multiple of 431/461, 7946/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/461, 7946/569 quickly i.e. 3424726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/461, 7946/569 is 3424726.

LCM(431/461, 7946/569) = 3424726

LCM of 431/461, 7946/569

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 431/461,7946/569

Given numbers are 431/461,7946/569

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 431,7946

Least Common Multiple of Numerators i.e. LCM of 431,7946 is 3424726.

GCF of Denominators means GCF of 461,569 as per the given fractions.

GCF of 461,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,7946

LCM of Fractions 431/461,7946/569 is 3424726

Given numbers has no common factors except 1. So, there LCM is their product i.e 3424726

Least Common Multiple of 431,7946 with GCF Formula

Least Common Multiple of 431,7946 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 431,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,7946) = 1

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

GCF(431,7946) x common factors =1 x 1 = 1

LCM(431,7946) = ( 431 × 7946 ) / 1

LCM(431,7946) = 3424726 / 1

LCM(431,7946) = 3424726


Lets's calculate GCF of 461,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3424726/1

Therefore the LCM of Fractions 431/461,7946/569 is 3424726

Greatest Common Factor of 461,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,569 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 461,569 . The biggest common factor number is the GCF number.
So the greatest common factor 461,569 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 431/461, 7946/569

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 431/461, 7946/569?

Answer: LCM of Numerators as per given numbers 431/461, 7946/569 is

LCM of Numerators i.e. for 431,7946 is 3424726

GCF of denominators i.e. for 461,569 is 1.

Thus, LCM of Fractions is 3424726.Finally, LCM of Fractions for 431/461, 7946/569 is 3424726.