Least Common Multiple of 41/390, 754/200, 494/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/390, 754/200, 494/548 quickly i.e. 293683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/390, 754/200, 494/548 is 293683.

LCM(41/390, 754/200, 494/548) = 293683

LCM of 41/390, 754/200, 494/548

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 41/390,754/200,494/548

Given numbers are 41/390,754/200,494/548

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 41,754,494

Least Common Multiple of Numerators i.e. LCM of 41,754,494 is 587366.

GCF of Denominators means GCF of 390,200,548 as per the given fractions.

GCF of 390,200,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,754,494

LCM of Fractions 41/390,754/200,494/548 is 293683

2 41, 754, 494
13 41, 377, 247
41, 29, 19

∴ So the LCM of the given numbers is 2 x 13 x 41 x 29 x 19 = 587366

Least Common Multiple of 41,754,494 with GCF Formula

Least Common Multiple of 41,754,494 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 41,754,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,754,494) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(41,754,494) x common factors =1 x 26 = 26

LCM(41,754,494) = ( 41 × 754 × 494 ) / 26

LCM(41,754,494) = 15271516 / 26

LCM(41,754,494) = 587366


Lets's calculate GCF of 390,200,548

2 390, 200, 548
195, 100, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587366/2

Therefore the LCM of Fractions 41/390,754/200,494/548 is 293683

Greatest Common Factor of 390,200,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,200,548 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 390,200,548 . The biggest common factor number is the GCF number.
So the greatest common factor 390,200,548 is 2.


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 41/390, 754/200, 494/548

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 41/390, 754/200, 494/548?

Answer: LCM of Numerators as per given numbers 41/390, 754/200, 494/548 is

LCM of Numerators i.e. for 41,754,494 is 587366

GCF of denominators i.e. for 390,200,548 is 2.

Thus, LCM of Fractions is 293683.Finally, LCM of Fractions for 41/390, 754/200, 494/548 is 293683.