Least Common Multiple of 485/772, 581/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/772, 581/644 quickly i.e. 281785/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/772, 581/644 is 281785/4.

LCM(485/772, 581/644) = 281785/4

LCM of 485/772, 581/644

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 485/772,581/644

Given numbers are 485/772,581/644

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 485,581

Least Common Multiple of Numerators i.e. LCM of 485,581 is 281785.

GCF of Denominators means GCF of 772,644 as per the given fractions.

GCF of 772,644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,581

LCM of Fractions 485/772,581/644 is 281785/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 281785

Least Common Multiple of 485,581 with GCF Formula

Least Common Multiple of 485,581 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 485,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,581) = 1

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

GCF(485,581) x common factors =1 x 1 = 1

LCM(485,581) = ( 485 × 581 ) / 1

LCM(485,581) = 281785 / 1

LCM(485,581) = 281785


Lets's calculate GCF of 772,644

2 772, 644
2 386, 322
193, 161

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281785/4

Therefore the LCM of Fractions 485/772,581/644 is 281785/4

Greatest Common Factor of 772,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,644 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 772,644 . The biggest common factor number is the GCF number.
So the greatest common factor 772,644 is 4.


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 485/772, 581/644

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 485/772, 581/644?

Answer: LCM of Numerators as per given numbers 485/772, 581/644 is

LCM of Numerators i.e. for 485,581 is 281785

GCF of denominators i.e. for 772,644 is 4.

Thus, LCM of Fractions is 281785/4.Finally, LCM of Fractions for 485/772, 581/644 is 281785/4.