Least Common Multiple of 5802/446, 7641/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5802/446, 7641/900 quickly i.e. 7388847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5802/446, 7641/900 is 7388847.

LCM(5802/446, 7641/900) = 7388847

LCM of 5802/446, 7641/900

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 5802/446,7641/900

Given numbers are 5802/446,7641/900

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 5802,7641

Least Common Multiple of Numerators i.e. LCM of 5802,7641 is 14777694.

GCF of Denominators means GCF of 446,900 as per the given fractions.

GCF of 446,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5802,7641

LCM of Fractions 5802/446,7641/900 is 7388847

3 5802, 7641
1934, 2547

∴ So the LCM of the given numbers is 3 x 1934 x 2547 = 14777694

Least Common Multiple of 5802,7641 with GCF Formula

Least Common Multiple of 5802,7641 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 5802,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5802,7641) = 3

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

GCF(5802,7641) x common factors =3 x 1 = 3

LCM(5802,7641) = ( 5802 × 7641 ) / 3

LCM(5802,7641) = 44333082 / 3

LCM(5802,7641) = 14777694


Lets's calculate GCF of 446,900

2 446, 900
223, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14777694/2

Therefore the LCM of Fractions 5802/446,7641/900 is 7388847

Greatest Common Factor of 446,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,900 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 446,900 . The biggest common factor number is the GCF number.
So the greatest common factor 446,900 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 5802/446, 7641/900

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 5802/446, 7641/900?

Answer: LCM of Numerators as per given numbers 5802/446, 7641/900 is

LCM of Numerators i.e. for 5802,7641 is 14777694

GCF of denominators i.e. for 446,900 is 2.

Thus, LCM of Fractions is 7388847.Finally, LCM of Fractions for 5802/446, 7641/900 is 7388847.