Least Common Multiple of 30/41, 71/10, 68/58, 49/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/41, 71/10, 68/58, 49/268 quickly i.e. 3548580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/41, 71/10, 68/58, 49/268 is 3548580.

LCM(30/41, 71/10, 68/58, 49/268) = 3548580

LCM of 30/41, 71/10, 68/58, 49/268

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 30/41,71/10,68/58,49/268

Given numbers are 30/41,71/10,68/58,49/268

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 30,71,68,49

Least Common Multiple of Numerators i.e. LCM of 30,71,68,49 is 3548580.

GCF of Denominators means GCF of 41,10,58,268 as per the given fractions.

GCF of 41,10,58,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,71,68,49

LCM of Fractions 30/41,71/10,68/58,49/268 is 3548580

2 30, 71, 68, 49
15, 71, 34, 49

∴ So the LCM of the given numbers is 2 x 15 x 71 x 34 x 49 = 3548580

Least Common Multiple of 30,71,68,49 with GCF Formula

Least Common Multiple of 30,71,68,49 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 30,71,68,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,71,68,49) = 1

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

GCF(30,71,68,49) x common factors =1 x 2 = 2

LCM(30,71,68,49) = ( 30 × 71 × 68 × 49 ) / 2

LCM(30,71,68,49) = 7097160 / 2

LCM(30,71,68,49) = 3548580


Lets's calculate GCF of 41,10,58,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3548580/1

Therefore the LCM of Fractions 30/41,71/10,68/58,49/268 is 3548580

Greatest Common Factor of 41,10,58,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,10,58,268 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 41,10,58,268 . The biggest common factor number is the GCF number.
So the greatest common factor 41,10,58,268 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 30/41, 71/10, 68/58, 49/268

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 30/41, 71/10, 68/58, 49/268?

Answer: LCM of Numerators as per given numbers 30/41, 71/10, 68/58, 49/268 is

LCM of Numerators i.e. for 30,71,68,49 is 3548580

GCF of denominators i.e. for 41,10,58,268 is 1.

Thus, LCM of Fractions is 3548580.Finally, LCM of Fractions for 30/41, 71/10, 68/58, 49/268 is 3548580.