Least Common Multiple of 71/18, 49/59, 547/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/18, 49/59, 547/136 quickly i.e. 1903013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/18, 49/59, 547/136 is 1903013.

LCM(71/18, 49/59, 547/136) = 1903013

LCM of 71/18, 49/59, 547/136

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 71/18,49/59,547/136

Given numbers are 71/18,49/59,547/136

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 71,49,547

Least Common Multiple of Numerators i.e. LCM of 71,49,547 is 1903013.

GCF of Denominators means GCF of 18,59,136 as per the given fractions.

GCF of 18,59,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,49,547

LCM of Fractions 71/18,49/59,547/136 is 1903013

Given numbers has no common factors except 1. So, there LCM is their product i.e 1903013

Least Common Multiple of 71,49,547 with GCF Formula

Least Common Multiple of 71,49,547 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 71,49,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,49,547) = 1

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

GCF(71,49,547) x common factors =1 x 1 = 1

LCM(71,49,547) = ( 71 × 49 × 547 ) / 1

LCM(71,49,547) = 1903013 / 1

LCM(71,49,547) = 1903013


Lets's calculate GCF of 18,59,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1903013/1

Therefore the LCM of Fractions 71/18,49/59,547/136 is 1903013

Greatest Common Factor of 18,59,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,59,136 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 18,59,136 . The biggest common factor number is the GCF number.
So the greatest common factor 18,59,136 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 71/18, 49/59, 547/136

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 71/18, 49/59, 547/136?

Answer: LCM of Numerators as per given numbers 71/18, 49/59, 547/136 is

LCM of Numerators i.e. for 71,49,547 is 1903013

GCF of denominators i.e. for 18,59,136 is 1.

Thus, LCM of Fractions is 1903013.Finally, LCM of Fractions for 71/18, 49/59, 547/136 is 1903013.