Least Common Multiple of 576/41, 704/25, 907/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/41, 704/25, 907/663 quickly i.e. 5746752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/41, 704/25, 907/663 is 5746752.

LCM(576/41, 704/25, 907/663) = 5746752

LCM of 576/41, 704/25, 907/663

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 576/41,704/25,907/663

Given numbers are 576/41,704/25,907/663

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 576,704,907

Least Common Multiple of Numerators i.e. LCM of 576,704,907 is 5746752.

GCF of Denominators means GCF of 41,25,663 as per the given fractions.

GCF of 41,25,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,704,907

LCM of Fractions 576/41,704/25,907/663 is 5746752

2 576, 704, 907
2 288, 352, 907
2 144, 176, 907
2 72, 88, 907
2 36, 44, 907
2 18, 22, 907
9, 11, 907

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 9 x 11 x 907 = 5746752

Least Common Multiple of 576,704,907 with GCF Formula

Least Common Multiple of 576,704,907 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 576,704,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,704,907) = 1

common factors(in case of two or more numbers have common factors) = 64

GCF(576,704,907) x common factors =1 x 64 = 64

LCM(576,704,907) = ( 576 × 704 × 907 ) / 64

LCM(576,704,907) = 367792128 / 64

LCM(576,704,907) = 5746752


Lets's calculate GCF of 41,25,663

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5746752/1

Therefore the LCM of Fractions 576/41,704/25,907/663 is 5746752

Greatest Common Factor of 41,25,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,25,663 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 41,25,663 . The biggest common factor number is the GCF number.
So the greatest common factor 41,25,663 is 1.


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 576/41, 704/25, 907/663

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 576/41, 704/25, 907/663?

Answer: LCM of Numerators as per given numbers 576/41, 704/25, 907/663 is

LCM of Numerators i.e. for 576,704,907 is 5746752

GCF of denominators i.e. for 41,25,663 is 1.

Thus, LCM of Fractions is 5746752.Finally, LCM of Fractions for 576/41, 704/25, 907/663 is 5746752.