Least Common Multiple of 87/960, 247/471, 463/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/960, 247/471, 463/753 quickly i.e. 3316469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/960, 247/471, 463/753 is 3316469.

LCM(87/960, 247/471, 463/753) = 3316469

LCM of 87/960, 247/471, 463/753

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 87/960,247/471,463/753

Given numbers are 87/960,247/471,463/753

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 87,247,463

Least Common Multiple of Numerators i.e. LCM of 87,247,463 is 9949407.

GCF of Denominators means GCF of 960,471,753 as per the given fractions.

GCF of 960,471,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,247,463

LCM of Fractions 87/960,247/471,463/753 is 3316469

Given numbers has no common factors except 1. So, there LCM is their product i.e 9949407

Least Common Multiple of 87,247,463 with GCF Formula

Least Common Multiple of 87,247,463 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 87,247,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,247,463) = 1

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

GCF(87,247,463) x common factors =1 x 1 = 1

LCM(87,247,463) = ( 87 × 247 × 463 ) / 1

LCM(87,247,463) = 9949407 / 1

LCM(87,247,463) = 9949407


Lets's calculate GCF of 960,471,753

3 960, 471, 753
320, 157, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9949407/3

Therefore the LCM of Fractions 87/960,247/471,463/753 is 3316469

Greatest Common Factor of 960,471,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,471,753 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 960,471,753 . The biggest common factor number is the GCF number.
So the greatest common factor 960,471,753 is 3.


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 87/960, 247/471, 463/753

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 87/960, 247/471, 463/753?

Answer: LCM of Numerators as per given numbers 87/960, 247/471, 463/753 is

LCM of Numerators i.e. for 87,247,463 is 9949407

GCF of denominators i.e. for 960,471,753 is 3.

Thus, LCM of Fractions is 3316469.Finally, LCM of Fractions for 87/960, 247/471, 463/753 is 3316469.