Least Common Multiple of 454/80, 100/2442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/80, 100/2442 quickly i.e. 11350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/80, 100/2442 is 11350.

LCM(454/80, 100/2442) = 11350

LCM of 454/80, 100/2442

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 454/80,100/2442

Given numbers are 454/80,100/2442

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 454,100

Least Common Multiple of Numerators i.e. LCM of 454,100 is 22700.

GCF of Denominators means GCF of 80,2442 as per the given fractions.

GCF of 80,2442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,100

LCM of Fractions 454/80,100/2442 is 11350

2 454, 100
227, 50

∴ So the LCM of the given numbers is 2 x 227 x 50 = 22700

Least Common Multiple of 454,100 with GCF Formula

Least Common Multiple of 454,100 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 454,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,100) = 2

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

GCF(454,100) x common factors =2 x 1 = 2

LCM(454,100) = ( 454 × 100 ) / 2

LCM(454,100) = 45400 / 2

LCM(454,100) = 22700


Lets's calculate GCF of 80,2442

2 80, 2442
40, 1221

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22700/2

Therefore the LCM of Fractions 454/80,100/2442 is 11350

Greatest Common Factor of 80,2442 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,2442 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors 80,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 80,2442 is 2.


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 454/80, 100/2442

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 454/80, 100/2442?

Answer: LCM of Numerators as per given numbers 454/80, 100/2442 is

LCM of Numerators i.e. for 454,100 is 22700

GCF of denominators i.e. for 80,2442 is 2.

Thus, LCM of Fractions is 11350.Finally, LCM of Fractions for 454/80, 100/2442 is 11350.