Least Common Multiple of 9794/456, 3604/9892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9794/456, 3604/9892 quickly i.e. 4412197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9794/456, 3604/9892 is 4412197.

LCM(9794/456, 3604/9892) = 4412197

LCM of 9794/456, 3604/9892

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 9794/456,3604/9892

Given numbers are 9794/456,3604/9892

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 9794,3604

Least Common Multiple of Numerators i.e. LCM of 9794,3604 is 17648788.

GCF of Denominators means GCF of 456,9892 as per the given fractions.

GCF of 456,9892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9794,3604

LCM of Fractions 9794/456,3604/9892 is 4412197

2 9794, 3604
4897, 1802

∴ So the LCM of the given numbers is 2 x 4897 x 1802 = 17648788

Least Common Multiple of 9794,3604 with GCF Formula

Least Common Multiple of 9794,3604 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 9794,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9794,3604) = 2

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

GCF(9794,3604) x common factors =2 x 1 = 2

LCM(9794,3604) = ( 9794 × 3604 ) / 2

LCM(9794,3604) = 35297576 / 2

LCM(9794,3604) = 17648788


Lets's calculate GCF of 456,9892

2 456, 9892
2 228, 4946
114, 2473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17648788/4

Therefore the LCM of Fractions 9794/456,3604/9892 is 4412197

Greatest Common Factor of 456,9892 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,9892 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Greatest Common Factor

We found the factors 456,9892 . The biggest common factor number is the GCF number.
So the greatest common factor 456,9892 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 9794/456, 3604/9892

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 9794/456, 3604/9892?

Answer: LCM of Numerators as per given numbers 9794/456, 3604/9892 is

LCM of Numerators i.e. for 9794,3604 is 17648788

GCF of denominators i.e. for 456,9892 is 4.

Thus, LCM of Fractions is 4412197.Finally, LCM of Fractions for 9794/456, 3604/9892 is 4412197.