Least Common Multiple of 58/38, 133/13, 153/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/38, 133/13, 153/246 quickly i.e. 1180242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/38, 133/13, 153/246 is 1180242.

LCM(58/38, 133/13, 153/246) = 1180242

LCM of 58/38, 133/13, 153/246

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 58/38,133/13,153/246

Given numbers are 58/38,133/13,153/246

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 58,133,153

Least Common Multiple of Numerators i.e. LCM of 58,133,153 is 1180242.

GCF of Denominators means GCF of 38,13,246 as per the given fractions.

GCF of 38,13,246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,133,153

LCM of Fractions 58/38,133/13,153/246 is 1180242

Given numbers has no common factors except 1. So, there LCM is their product i.e 1180242

Least Common Multiple of 58,133,153 with GCF Formula

Least Common Multiple of 58,133,153 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 58,133,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,133,153) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,133,153) x common factors =1 x 1 = 1

LCM(58,133,153) = ( 58 × 133 × 153 ) / 1

LCM(58,133,153) = 1180242 / 1

LCM(58,133,153) = 1180242


Lets's calculate GCF of 38,13,246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1180242/1

Therefore the LCM of Fractions 58/38,133/13,153/246 is 1180242

Greatest Common Factor of 38,13,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,13,246 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 38,13,246 . The biggest common factor number is the GCF number.
So the greatest common factor 38,13,246 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/38, 133/13, 153/246

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 58/38, 133/13, 153/246?

Answer: LCM of Numerators as per given numbers 58/38, 133/13, 153/246 is

LCM of Numerators i.e. for 58,133,153 is 1180242

GCF of denominators i.e. for 38,13,246 is 1.

Thus, LCM of Fractions is 1180242.Finally, LCM of Fractions for 58/38, 133/13, 153/246 is 1180242.