Least Common Multiple of 71/136, 36/756, 768/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/136, 36/756, 768/577 quickly i.e. 163584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/136, 36/756, 768/577 is 163584.

LCM(71/136, 36/756, 768/577) = 163584

LCM of 71/136, 36/756, 768/577

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 71/136,36/756,768/577

Given numbers are 71/136,36/756,768/577

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 71,36,768

Least Common Multiple of Numerators i.e. LCM of 71,36,768 is 163584.

GCF of Denominators means GCF of 136,756,577 as per the given fractions.

GCF of 136,756,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,36,768

LCM of Fractions 71/136,36/756,768/577 is 163584

2 71, 36, 768
2 71, 18, 384
3 71, 9, 192
71, 3, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 3 x 64 = 163584

Least Common Multiple of 71,36,768 with GCF Formula

Least Common Multiple of 71,36,768 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 71,36,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,36,768) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(71,36,768) x common factors =1 x 12 = 12

LCM(71,36,768) = ( 71 × 36 × 768 ) / 12

LCM(71,36,768) = 1963008 / 12

LCM(71,36,768) = 163584


Lets's calculate GCF of 136,756,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163584/1

Therefore the LCM of Fractions 71/136,36/756,768/577 is 163584

Greatest Common Factor of 136,756,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,756,577 By Matching Biggest Common Factor Method

Factors of 136

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

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

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 136,756,577 . The biggest common factor number is the GCF number.
So the greatest common factor 136,756,577 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 71/136, 36/756, 768/577

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 71/136, 36/756, 768/577?

Answer: LCM of Numerators as per given numbers 71/136, 36/756, 768/577 is

LCM of Numerators i.e. for 71,36,768 is 163584

GCF of denominators i.e. for 136,756,577 is 1.

Thus, LCM of Fractions is 163584.Finally, LCM of Fractions for 71/136, 36/756, 768/577 is 163584.