Least Common Multiple of 47/633, 80/434, 242/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/633, 80/434, 242/646 quickly i.e. 454960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/633, 80/434, 242/646 is 454960.

LCM(47/633, 80/434, 242/646) = 454960

LCM of 47/633, 80/434, 242/646

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 47/633,80/434,242/646

Given numbers are 47/633,80/434,242/646

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 47,80,242

Least Common Multiple of Numerators i.e. LCM of 47,80,242 is 454960.

GCF of Denominators means GCF of 633,434,646 as per the given fractions.

GCF of 633,434,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,80,242

LCM of Fractions 47/633,80/434,242/646 is 454960

2 47, 80, 242
47, 40, 121

∴ So the LCM of the given numbers is 2 x 47 x 40 x 121 = 454960

Least Common Multiple of 47,80,242 with GCF Formula

Least Common Multiple of 47,80,242 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 47,80,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,80,242) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,80,242) x common factors =1 x 2 = 2

LCM(47,80,242) = ( 47 × 80 × 242 ) / 2

LCM(47,80,242) = 909920 / 2

LCM(47,80,242) = 454960


Lets's calculate GCF of 633,434,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454960/1

Therefore the LCM of Fractions 47/633,80/434,242/646 is 454960

Greatest Common Factor of 633,434,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,434,646 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

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 633,434,646 . The biggest common factor number is the GCF number.
So the greatest common factor 633,434,646 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 47/633, 80/434, 242/646

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 47/633, 80/434, 242/646?

Answer: LCM of Numerators as per given numbers 47/633, 80/434, 242/646 is

LCM of Numerators i.e. for 47,80,242 is 454960

GCF of denominators i.e. for 633,434,646 is 1.

Thus, LCM of Fractions is 454960.Finally, LCM of Fractions for 47/633, 80/434, 242/646 is 454960.