Least Common Multiple of 84/40, 78/82, 816/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/40, 78/82, 816/715 quickly i.e. 74256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/40, 78/82, 816/715 is 74256.

LCM(84/40, 78/82, 816/715) = 74256

LCM of 84/40, 78/82, 816/715

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 84/40,78/82,816/715

Given numbers are 84/40,78/82,816/715

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 84,78,816

Least Common Multiple of Numerators i.e. LCM of 84,78,816 is 74256.

GCF of Denominators means GCF of 40,82,715 as per the given fractions.

GCF of 40,82,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,78,816

LCM of Fractions 84/40,78/82,816/715 is 74256

2 84, 78, 816
2 42, 39, 408
3 21, 39, 204
7, 13, 68

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 68 = 74256

Least Common Multiple of 84,78,816 with GCF Formula

Least Common Multiple of 84,78,816 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 84,78,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,78,816) = 6

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

GCF(84,78,816) x common factors =6 x 12 = 72

LCM(84,78,816) = ( 84 × 78 × 816 ) / 72

LCM(84,78,816) = 5346432 / 72

LCM(84,78,816) = 74256


Lets's calculate GCF of 40,82,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74256/1

Therefore the LCM of Fractions 84/40,78/82,816/715 is 74256

Greatest Common Factor of 40,82,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,82,715 By Matching Biggest Common Factor Method

Factors of 40

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

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

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 40,82,715 . The biggest common factor number is the GCF number.
So the greatest common factor 40,82,715 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 84/40, 78/82, 816/715

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 84/40, 78/82, 816/715?

Answer: LCM of Numerators as per given numbers 84/40, 78/82, 816/715 is

LCM of Numerators i.e. for 84,78,816 is 74256

GCF of denominators i.e. for 40,82,715 is 1.

Thus, LCM of Fractions is 74256.Finally, LCM of Fractions for 84/40, 78/82, 816/715 is 74256.