Least Common Multiple of 41/12, 49/65, 48/37, 57/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/12, 49/65, 48/37, 57/654 quickly i.e. 1832208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/12, 49/65, 48/37, 57/654 is 1832208.

LCM(41/12, 49/65, 48/37, 57/654) = 1832208

LCM of 41/12, 49/65, 48/37, 57/654

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 41/12,49/65,48/37,57/654

Given numbers are 41/12,49/65,48/37,57/654

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 41,49,48,57

Least Common Multiple of Numerators i.e. LCM of 41,49,48,57 is 1832208.

GCF of Denominators means GCF of 12,65,37,654 as per the given fractions.

GCF of 12,65,37,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,49,48,57

LCM of Fractions 41/12,49/65,48/37,57/654 is 1832208

3 41, 49, 48, 57
41, 49, 16, 19

∴ So the LCM of the given numbers is 3 x 41 x 49 x 16 x 19 = 1832208

Least Common Multiple of 41,49,48,57 with GCF Formula

Least Common Multiple of 41,49,48,57 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 41,49,48,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,49,48,57) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,49,48,57) x common factors =1 x 3 = 3

LCM(41,49,48,57) = ( 41 × 49 × 48 × 57 ) / 3

LCM(41,49,48,57) = 5496624 / 3

LCM(41,49,48,57) = 1832208


Lets's calculate GCF of 12,65,37,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1832208/1

Therefore the LCM of Fractions 41/12,49/65,48/37,57/654 is 1832208

Greatest Common Factor of 12,65,37,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,65,37,654 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 65

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

1,5,13,65

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 12,65,37,654 . The biggest common factor number is the GCF number.
So the greatest common factor 12,65,37,654 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 41/12, 49/65, 48/37, 57/654

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 41/12, 49/65, 48/37, 57/654?

Answer: LCM of Numerators as per given numbers 41/12, 49/65, 48/37, 57/654 is

LCM of Numerators i.e. for 41,49,48,57 is 1832208

GCF of denominators i.e. for 12,65,37,654 is 1.

Thus, LCM of Fractions is 1832208.Finally, LCM of Fractions for 41/12, 49/65, 48/37, 57/654 is 1832208.