Least Common Multiple of 7500/441, 5776/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7500/441, 5776/846 quickly i.e. 10830000/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7500/441, 5776/846 is 10830000/9.

LCM(7500/441, 5776/846) = 10830000/9

LCM of 7500/441, 5776/846

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 7500/441,5776/846

Given numbers are 7500/441,5776/846

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 7500,5776

Least Common Multiple of Numerators i.e. LCM of 7500,5776 is 10830000.

GCF of Denominators means GCF of 441,846 as per the given fractions.

GCF of 441,846 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7500,5776

LCM of Fractions 7500/441,5776/846 is 10830000/9

2 7500, 5776
2 3750, 2888
1875, 1444

∴ So the LCM of the given numbers is 2 x 2 x 1875 x 1444 = 10830000

Least Common Multiple of 7500,5776 with GCF Formula

Least Common Multiple of 7500,5776 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 7500,5776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7500,5776) = 4

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

GCF(7500,5776) x common factors =4 x 1 = 4

LCM(7500,5776) = ( 7500 × 5776 ) / 4

LCM(7500,5776) = 43320000 / 4

LCM(7500,5776) = 10830000


Lets's calculate GCF of 441,846

3 441, 846
3 147, 282
49, 94

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10830000/9

Therefore the LCM of Fractions 7500/441,5776/846 is 10830000/9

Greatest Common Factor of 441,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,846 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 441,846 . The biggest common factor number is the GCF number.
So the greatest common factor 441,846 is 9.


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 7500/441, 5776/846

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 7500/441, 5776/846?

Answer: LCM of Numerators as per given numbers 7500/441, 5776/846 is

LCM of Numerators i.e. for 7500,5776 is 10830000

GCF of denominators i.e. for 441,846 is 9.

Thus, LCM of Fractions is 10830000/9.Finally, LCM of Fractions for 7500/441, 5776/846 is 10830000/9.