Least Common Multiple of 78/61, 64/805, 772/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/61, 64/805, 772/481 quickly i.e. 481728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/61, 64/805, 772/481 is 481728.

LCM(78/61, 64/805, 772/481) = 481728

LCM of 78/61, 64/805, 772/481

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 78/61,64/805,772/481

Given numbers are 78/61,64/805,772/481

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 78,64,772

Least Common Multiple of Numerators i.e. LCM of 78,64,772 is 481728.

GCF of Denominators means GCF of 61,805,481 as per the given fractions.

GCF of 61,805,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,64,772

LCM of Fractions 78/61,64/805,772/481 is 481728

2 78, 64, 772
2 39, 32, 386
39, 16, 193

∴ So the LCM of the given numbers is 2 x 2 x 39 x 16 x 193 = 481728

Least Common Multiple of 78,64,772 with GCF Formula

Least Common Multiple of 78,64,772 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 78,64,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,64,772) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(78,64,772) x common factors =2 x 4 = 8

LCM(78,64,772) = ( 78 × 64 × 772 ) / 8

LCM(78,64,772) = 3853824 / 8

LCM(78,64,772) = 481728


Lets's calculate GCF of 61,805,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481728/1

Therefore the LCM of Fractions 78/61,64/805,772/481 is 481728

Greatest Common Factor of 61,805,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,805,481 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 61,805,481 . The biggest common factor number is the GCF number.
So the greatest common factor 61,805,481 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 78/61, 64/805, 772/481

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 78/61, 64/805, 772/481?

Answer: LCM of Numerators as per given numbers 78/61, 64/805, 772/481 is

LCM of Numerators i.e. for 78,64,772 is 481728

GCF of denominators i.e. for 61,805,481 is 1.

Thus, LCM of Fractions is 481728.Finally, LCM of Fractions for 78/61, 64/805, 772/481 is 481728.