Least Common Multiple of 431/94, 482/2021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/94, 482/2021 quickly i.e. 207742/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/94, 482/2021 is 207742/47.

LCM(431/94, 482/2021) = 207742/47

LCM of 431/94, 482/2021

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 431/94,482/2021

Given numbers are 431/94,482/2021

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 431,482

Least Common Multiple of Numerators i.e. LCM of 431,482 is 207742.

GCF of Denominators means GCF of 94,2021 as per the given fractions.

GCF of 94,2021 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,482

LCM of Fractions 431/94,482/2021 is 207742/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 207742

Least Common Multiple of 431,482 with GCF Formula

Least Common Multiple of 431,482 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 431,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,482) = 1

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

GCF(431,482) x common factors =1 x 1 = 1

LCM(431,482) = ( 431 × 482 ) / 1

LCM(431,482) = 207742 / 1

LCM(431,482) = 207742


Lets's calculate GCF of 94,2021

47 94, 2021
2, 43

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207742/47

Therefore the LCM of Fractions 431/94,482/2021 is 207742/47

Greatest Common Factor of 94,2021 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,2021 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1,43,47,2021

Greatest Common Factor

We found the factors 94,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2021 is 47.


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 431/94, 482/2021

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 431/94, 482/2021?

Answer: LCM of Numerators as per given numbers 431/94, 482/2021 is

LCM of Numerators i.e. for 431,482 is 207742

GCF of denominators i.e. for 94,2021 is 47.

Thus, LCM of Fractions is 207742/47.Finally, LCM of Fractions for 431/94, 482/2021 is 207742/47.