Least Common Multiple of 41/71, 76/12, 196/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/71, 76/12, 196/313 quickly i.e. 152684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/71, 76/12, 196/313 is 152684.

LCM(41/71, 76/12, 196/313) = 152684

LCM of 41/71, 76/12, 196/313

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 41/71,76/12,196/313

Given numbers are 41/71,76/12,196/313

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 41,76,196

Least Common Multiple of Numerators i.e. LCM of 41,76,196 is 152684.

GCF of Denominators means GCF of 71,12,313 as per the given fractions.

GCF of 71,12,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,76,196

LCM of Fractions 41/71,76/12,196/313 is 152684

2 41, 76, 196
2 41, 38, 98
41, 19, 49

∴ So the LCM of the given numbers is 2 x 2 x 41 x 19 x 49 = 152684

Least Common Multiple of 41,76,196 with GCF Formula

Least Common Multiple of 41,76,196 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 41,76,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,76,196) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,76,196) x common factors =1 x 4 = 4

LCM(41,76,196) = ( 41 × 76 × 196 ) / 4

LCM(41,76,196) = 610736 / 4

LCM(41,76,196) = 152684


Lets's calculate GCF of 71,12,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152684/1

Therefore the LCM of Fractions 41/71,76/12,196/313 is 152684

Greatest Common Factor of 71,12,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,12,313 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 12

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

1,2,3,4,6,12

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 71,12,313 . The biggest common factor number is the GCF number.
So the greatest common factor 71,12,313 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 41/71, 76/12, 196/313

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 41/71, 76/12, 196/313?

Answer: LCM of Numerators as per given numbers 41/71, 76/12, 196/313 is

LCM of Numerators i.e. for 41,76,196 is 152684

GCF of denominators i.e. for 71,12,313 is 1.

Thus, LCM of Fractions is 152684.Finally, LCM of Fractions for 41/71, 76/12, 196/313 is 152684.