Least Common Multiple of 93/810, 54/162, 782/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/810, 54/162, 782/756 quickly i.e. 12121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/810, 54/162, 782/756 is 12121.

LCM(93/810, 54/162, 782/756) = 12121

LCM of 93/810, 54/162, 782/756

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 93/810,54/162,782/756

Given numbers are 93/810,54/162,782/756

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 93,54,782

Least Common Multiple of Numerators i.e. LCM of 93,54,782 is 654534.

GCF of Denominators means GCF of 810,162,756 as per the given fractions.

GCF of 810,162,756 is 54 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,54,782

LCM of Fractions 93/810,54/162,782/756 is 12121

2 93, 54, 782
3 93, 27, 391
31, 9, 391

∴ So the LCM of the given numbers is 2 x 3 x 31 x 9 x 391 = 654534

Least Common Multiple of 93,54,782 with GCF Formula

Least Common Multiple of 93,54,782 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 93,54,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,54,782) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,54,782) x common factors =1 x 6 = 6

LCM(93,54,782) = ( 93 × 54 × 782 ) / 6

LCM(93,54,782) = 3927204 / 6

LCM(93,54,782) = 654534


Lets's calculate GCF of 810,162,756

2 810, 162, 756
3 405, 81, 378
3 135, 27, 126
3 45, 9, 42
15, 3, 14

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654534/54

Therefore the LCM of Fractions 93/810,54/162,782/756 is 12121

Greatest Common Factor of 810,162,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,162,756 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

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

Greatest Common Factor

We found the factors 810,162,756 . The biggest common factor number is the GCF number.
So the greatest common factor 810,162,756 is 54.


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 93/810, 54/162, 782/756

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 93/810, 54/162, 782/756?

Answer: LCM of Numerators as per given numbers 93/810, 54/162, 782/756 is

LCM of Numerators i.e. for 93,54,782 is 654534

GCF of denominators i.e. for 810,162,756 is 54.

Thus, LCM of Fractions is 12121.Finally, LCM of Fractions for 93/810, 54/162, 782/756 is 12121.