Least Common Multiple of 12/31, 49/68, 49/71, 14/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/31, 49/68, 49/71, 14/176 quickly i.e. 588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/31, 49/68, 49/71, 14/176 is 588.

LCM(12/31, 49/68, 49/71, 14/176) = 588

LCM of 12/31, 49/68, 49/71, 14/176

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 12/31,49/68,49/71,14/176

Given numbers are 12/31,49/68,49/71,14/176

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 12,49,49,14

Least Common Multiple of Numerators i.e. LCM of 12,49,49,14 is 588.

GCF of Denominators means GCF of 31,68,71,176 as per the given fractions.

GCF of 31,68,71,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,49,49,14

LCM of Fractions 12/31,49/68,49/71,14/176 is 588

2 12, 49, 49, 14
7 6, 49, 49, 7
7 6, 1, 7, 7
6, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 7 x 6 x 1 x 1 x 1 = 588

Least Common Multiple of 12,49,49,14 with GCF Formula

Least Common Multiple of 12,49,49,14 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 12,49,49,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,49,49,14) = 1

common factors(in case of two or more numbers have common factors) = 686

GCF(12,49,49,14) x common factors =1 x 686 = 686

LCM(12,49,49,14) = ( 12 × 49 × 49 × 14 ) / 686

LCM(12,49,49,14) = 403368 / 686

LCM(12,49,49,14) = 588


Lets's calculate GCF of 31,68,71,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588/1

Therefore the LCM of Fractions 12/31,49/68,49/71,14/176 is 588

Greatest Common Factor of 31,68,71,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,68,71,176 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 71

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

1,71

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 31,68,71,176 . The biggest common factor number is the GCF number.
So the greatest common factor 31,68,71,176 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 12/31, 49/68, 49/71, 14/176

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 12/31, 49/68, 49/71, 14/176?

Answer: LCM of Numerators as per given numbers 12/31, 49/68, 49/71, 14/176 is

LCM of Numerators i.e. for 12,49,49,14 is 588

GCF of denominators i.e. for 31,68,71,176 is 1.

Thus, LCM of Fractions is 588.Finally, LCM of Fractions for 12/31, 49/68, 49/71, 14/176 is 588.