Least Common Multiple of 825/64, 440/47, 608/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/64, 440/47, 608/789 quickly i.e. 501600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/64, 440/47, 608/789 is 501600.

LCM(825/64, 440/47, 608/789) = 501600

LCM of 825/64, 440/47, 608/789

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 825/64,440/47,608/789

Given numbers are 825/64,440/47,608/789

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 825,440,608

Least Common Multiple of Numerators i.e. LCM of 825,440,608 is 501600.

GCF of Denominators means GCF of 64,47,789 as per the given fractions.

GCF of 64,47,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,440,608

LCM of Fractions 825/64,440/47,608/789 is 501600

2 825, 440, 608
2 825, 220, 304
2 825, 110, 152
5 825, 55, 76
11 165, 11, 76
15, 1, 76

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 15 x 1 x 76 = 501600

Least Common Multiple of 825,440,608 with GCF Formula

Least Common Multiple of 825,440,608 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 825,440,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,440,608) = 1

common factors(in case of two or more numbers have common factors) = 440

GCF(825,440,608) x common factors =1 x 440 = 440

LCM(825,440,608) = ( 825 × 440 × 608 ) / 440

LCM(825,440,608) = 220704000 / 440

LCM(825,440,608) = 501600


Lets's calculate GCF of 64,47,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501600/1

Therefore the LCM of Fractions 825/64,440/47,608/789 is 501600

Greatest Common Factor of 64,47,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,47,789 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 64,47,789 . The biggest common factor number is the GCF number.
So the greatest common factor 64,47,789 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 825/64, 440/47, 608/789

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 825/64, 440/47, 608/789?

Answer: LCM of Numerators as per given numbers 825/64, 440/47, 608/789 is

LCM of Numerators i.e. for 825,440,608 is 501600

GCF of denominators i.e. for 64,47,789 is 1.

Thus, LCM of Fractions is 501600.Finally, LCM of Fractions for 825/64, 440/47, 608/789 is 501600.