Least Common Multiple of 61/648, 10/791, 586/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/648, 10/791, 586/794 quickly i.e. 178730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/648, 10/791, 586/794 is 178730.

LCM(61/648, 10/791, 586/794) = 178730

LCM of 61/648, 10/791, 586/794

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 61/648,10/791,586/794

Given numbers are 61/648,10/791,586/794

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 61,10,586

Least Common Multiple of Numerators i.e. LCM of 61,10,586 is 178730.

GCF of Denominators means GCF of 648,791,794 as per the given fractions.

GCF of 648,791,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,10,586

LCM of Fractions 61/648,10/791,586/794 is 178730

2 61, 10, 586
61, 5, 293

∴ So the LCM of the given numbers is 2 x 61 x 5 x 293 = 178730

Least Common Multiple of 61,10,586 with GCF Formula

Least Common Multiple of 61,10,586 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 61,10,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,10,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,10,586) x common factors =1 x 2 = 2

LCM(61,10,586) = ( 61 × 10 × 586 ) / 2

LCM(61,10,586) = 357460 / 2

LCM(61,10,586) = 178730


Lets's calculate GCF of 648,791,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178730/1

Therefore the LCM of Fractions 61/648,10/791,586/794 is 178730

Greatest Common Factor of 648,791,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,791,794 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 648,791,794 . The biggest common factor number is the GCF number.
So the greatest common factor 648,791,794 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 61/648, 10/791, 586/794

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 61/648, 10/791, 586/794?

Answer: LCM of Numerators as per given numbers 61/648, 10/791, 586/794 is

LCM of Numerators i.e. for 61,10,586 is 178730

GCF of denominators i.e. for 648,791,794 is 1.

Thus, LCM of Fractions is 178730.Finally, LCM of Fractions for 61/648, 10/791, 586/794 is 178730.