Least Common Multiple of 718/27, 834/96, 136/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 718/27, 834/96, 136/894 quickly i.e. 6786536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/27, 834/96, 136/894 is 6786536.

LCM(718/27, 834/96, 136/894) = 6786536

LCM of 718/27, 834/96, 136/894

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 718/27,834/96,136/894

Given numbers are 718/27,834/96,136/894

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 718,834,136

Least Common Multiple of Numerators i.e. LCM of 718,834,136 is 20359608.

GCF of Denominators means GCF of 27,96,894 as per the given fractions.

GCF of 27,96,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,834,136

LCM of Fractions 718/27,834/96,136/894 is 6786536

2 718, 834, 136
359, 417, 68

∴ So the LCM of the given numbers is 2 x 359 x 417 x 68 = 20359608

Least Common Multiple of 718,834,136 with GCF Formula

Least Common Multiple of 718,834,136 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 718,834,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,834,136) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(718,834,136) x common factors =2 x 2 = 4

LCM(718,834,136) = ( 718 × 834 × 136 ) / 4

LCM(718,834,136) = 81438432 / 4

LCM(718,834,136) = 20359608


Lets's calculate GCF of 27,96,894

3 27, 96, 894
9, 32, 298

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20359608/3

Therefore the LCM of Fractions 718/27,834/96,136/894 is 6786536

Greatest Common Factor of 27,96,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,96,894 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 27,96,894 . The biggest common factor number is the GCF number.
So the greatest common factor 27,96,894 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 718/27, 834/96, 136/894

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 718/27, 834/96, 136/894?

Answer: LCM of Numerators as per given numbers 718/27, 834/96, 136/894 is

LCM of Numerators i.e. for 718,834,136 is 20359608

GCF of denominators i.e. for 27,96,894 is 3.

Thus, LCM of Fractions is 6786536.Finally, LCM of Fractions for 718/27, 834/96, 136/894 is 6786536.