Least Common Multiple of 43/922, 431/307, 349/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/922, 431/307, 349/646 quickly i.e. 6468017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/922, 431/307, 349/646 is 6468017.

LCM(43/922, 431/307, 349/646) = 6468017

LCM of 43/922, 431/307, 349/646

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 43/922,431/307,349/646

Given numbers are 43/922,431/307,349/646

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 43,431,349

Least Common Multiple of Numerators i.e. LCM of 43,431,349 is 6468017.

GCF of Denominators means GCF of 922,307,646 as per the given fractions.

GCF of 922,307,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,431,349

LCM of Fractions 43/922,431/307,349/646 is 6468017

Given numbers has no common factors except 1. So, there LCM is their product i.e 6468017

Least Common Multiple of 43,431,349 with GCF Formula

Least Common Multiple of 43,431,349 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 43,431,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,431,349) = 1

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

GCF(43,431,349) x common factors =1 x 1 = 1

LCM(43,431,349) = ( 43 × 431 × 349 ) / 1

LCM(43,431,349) = 6468017 / 1

LCM(43,431,349) = 6468017


Lets's calculate GCF of 922,307,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6468017/1

Therefore the LCM of Fractions 43/922,431/307,349/646 is 6468017

Greatest Common Factor of 922,307,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,307,646 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 922,307,646 . The biggest common factor number is the GCF number.
So the greatest common factor 922,307,646 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 43/922, 431/307, 349/646

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 43/922, 431/307, 349/646?

Answer: LCM of Numerators as per given numbers 43/922, 431/307, 349/646 is

LCM of Numerators i.e. for 43,431,349 is 6468017

GCF of denominators i.e. for 922,307,646 is 1.

Thus, LCM of Fractions is 6468017.Finally, LCM of Fractions for 43/922, 431/307, 349/646 is 6468017.