Least Common Multiple of 454/524, 1966/9340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/524, 1966/9340 quickly i.e. 446282/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/524, 1966/9340 is 446282/4.

LCM(454/524, 1966/9340) = 446282/4

LCM of 454/524, 1966/9340

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 454/524,1966/9340

Given numbers are 454/524,1966/9340

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 454,1966

Least Common Multiple of Numerators i.e. LCM of 454,1966 is 446282.

GCF of Denominators means GCF of 524,9340 as per the given fractions.

GCF of 524,9340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,1966

LCM of Fractions 454/524,1966/9340 is 446282/4

2 454, 1966
227, 983

∴ So the LCM of the given numbers is 2 x 227 x 983 = 446282

Least Common Multiple of 454,1966 with GCF Formula

Least Common Multiple of 454,1966 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 454,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,1966) = 2

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

GCF(454,1966) x common factors =2 x 1 = 2

LCM(454,1966) = ( 454 × 1966 ) / 2

LCM(454,1966) = 892564 / 2

LCM(454,1966) = 446282


Lets's calculate GCF of 524,9340

2 524, 9340
2 262, 4670
131, 2335

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446282/4

Therefore the LCM of Fractions 454/524,1966/9340 is 446282/4

Greatest Common Factor of 524,9340 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,9340 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 9340

List of positive integer factors of 9340 that divides 9340 without a remainder.

1,2,4,5,10,20,467,934,1868,2335,4670,9340

Greatest Common Factor

We found the factors 524,9340 . The biggest common factor number is the GCF number.
So the greatest common factor 524,9340 is 4.


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 454/524, 1966/9340

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 454/524, 1966/9340?

Answer: LCM of Numerators as per given numbers 454/524, 1966/9340 is

LCM of Numerators i.e. for 454,1966 is 446282

GCF of denominators i.e. for 524,9340 is 4.

Thus, LCM of Fractions is 446282/4.Finally, LCM of Fractions for 454/524, 1966/9340 is 446282/4.