Least Common Multiple of 986/55, 759/71, 711/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 986/55, 759/71, 711/40 quickly i.e. 177364638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 986/55, 759/71, 711/40 is 177364638.

LCM(986/55, 759/71, 711/40) = 177364638

LCM of 986/55, 759/71, 711/40

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 986/55,759/71,711/40

Given numbers are 986/55,759/71,711/40

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 986,759,711

Least Common Multiple of Numerators i.e. LCM of 986,759,711 is 177364638.

GCF of Denominators means GCF of 55,71,40 as per the given fractions.

GCF of 55,71,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 986,759,711

LCM of Fractions 986/55,759/71,711/40 is 177364638

3 986, 759, 711
986, 253, 237

∴ So the LCM of the given numbers is 3 x 986 x 253 x 237 = 177364638

Least Common Multiple of 986,759,711 with GCF Formula

Least Common Multiple of 986,759,711 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 986,759,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,759,711) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(986,759,711) x common factors =1 x 3 = 3

LCM(986,759,711) = ( 986 × 759 × 711 ) / 3

LCM(986,759,711) = 532093914 / 3

LCM(986,759,711) = 177364638


Lets's calculate GCF of 55,71,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177364638/1

Therefore the LCM of Fractions 986/55,759/71,711/40 is 177364638

Greatest Common Factor of 55,71,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,71,40 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 71

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

1,71

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 55,71,40 . The biggest common factor number is the GCF number.
So the greatest common factor 55,71,40 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 986/55, 759/71, 711/40

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 986/55, 759/71, 711/40?

Answer: LCM of Numerators as per given numbers 986/55, 759/71, 711/40 is

LCM of Numerators i.e. for 986,759,711 is 177364638

GCF of denominators i.e. for 55,71,40 is 1.

Thus, LCM of Fractions is 177364638.Finally, LCM of Fractions for 986/55, 759/71, 711/40 is 177364638.