Least Common Multiple of 41/65, 52/26, 31/66, 93/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/65, 52/26, 31/66, 93/712 quickly i.e. 198276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/65, 52/26, 31/66, 93/712 is 198276.

LCM(41/65, 52/26, 31/66, 93/712) = 198276

LCM of 41/65, 52/26, 31/66, 93/712

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 41/65,52/26,31/66,93/712

Given numbers are 41/65,52/26,31/66,93/712

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 41,52,31,93

Least Common Multiple of Numerators i.e. LCM of 41,52,31,93 is 198276.

GCF of Denominators means GCF of 65,26,66,712 as per the given fractions.

GCF of 65,26,66,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,52,31,93

LCM of Fractions 41/65,52/26,31/66,93/712 is 198276

31 41, 52, 31, 93
41, 52, 1, 3

∴ So the LCM of the given numbers is 31 x 41 x 52 x 1 x 3 = 198276

Least Common Multiple of 41,52,31,93 with GCF Formula

Least Common Multiple of 41,52,31,93 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 41,52,31,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,52,31,93) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(41,52,31,93) x common factors =1 x 31 = 31

LCM(41,52,31,93) = ( 41 × 52 × 31 × 93 ) / 31

LCM(41,52,31,93) = 6146556 / 31

LCM(41,52,31,93) = 198276


Lets's calculate GCF of 65,26,66,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198276/1

Therefore the LCM of Fractions 41/65,52/26,31/66,93/712 is 198276

Greatest Common Factor of 65,26,66,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,26,66,712 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 65,26,66,712 . The biggest common factor number is the GCF number.
So the greatest common factor 65,26,66,712 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 41/65, 52/26, 31/66, 93/712

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 41/65, 52/26, 31/66, 93/712?

Answer: LCM of Numerators as per given numbers 41/65, 52/26, 31/66, 93/712 is

LCM of Numerators i.e. for 41,52,31,93 is 198276

GCF of denominators i.e. for 65,26,66,712 is 1.

Thus, LCM of Fractions is 198276.Finally, LCM of Fractions for 41/65, 52/26, 31/66, 93/712 is 198276.