Least Common Multiple of 49/21, 14/13, 706/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/21, 14/13, 706/187 quickly i.e. 34594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/21, 14/13, 706/187 is 34594.

LCM(49/21, 14/13, 706/187) = 34594

LCM of 49/21, 14/13, 706/187

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 49/21,14/13,706/187

Given numbers are 49/21,14/13,706/187

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 49,14,706

Least Common Multiple of Numerators i.e. LCM of 49,14,706 is 34594.

GCF of Denominators means GCF of 21,13,187 as per the given fractions.

GCF of 21,13,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,14,706

LCM of Fractions 49/21,14/13,706/187 is 34594

2 49, 14, 706
7 49, 7, 353
1, 7, 353

∴ So the LCM of the given numbers is 2 x 7 x 1 x 7 x 353 = 34594

Least Common Multiple of 49,14,706 with GCF Formula

Least Common Multiple of 49,14,706 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 49,14,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,14,706) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(49,14,706) x common factors =1 x 14 = 14

LCM(49,14,706) = ( 49 × 14 × 706 ) / 14

LCM(49,14,706) = 484316 / 14

LCM(49,14,706) = 34594


Lets's calculate GCF of 21,13,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34594/1

Therefore the LCM of Fractions 49/21,14/13,706/187 is 34594

Greatest Common Factor of 21,13,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,13,187 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 13

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

1,13

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 21,13,187 . The biggest common factor number is the GCF number.
So the greatest common factor 21,13,187 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 49/21, 14/13, 706/187

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 49/21, 14/13, 706/187?

Answer: LCM of Numerators as per given numbers 49/21, 14/13, 706/187 is

LCM of Numerators i.e. for 49,14,706 is 34594

GCF of denominators i.e. for 21,13,187 is 1.

Thus, LCM of Fractions is 34594.Finally, LCM of Fractions for 49/21, 14/13, 706/187 is 34594.