Least Common Multiple of 78/86, 36/74, 25/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/86, 36/74, 25/392 quickly i.e. 5850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/86, 36/74, 25/392 is 5850.

LCM(78/86, 36/74, 25/392) = 5850

LCM of 78/86, 36/74, 25/392

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 78/86,36/74,25/392

Given numbers are 78/86,36/74,25/392

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 78,36,25

Least Common Multiple of Numerators i.e. LCM of 78,36,25 is 11700.

GCF of Denominators means GCF of 86,74,392 as per the given fractions.

GCF of 86,74,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,36,25

LCM of Fractions 78/86,36/74,25/392 is 5850

2 78, 36, 25
3 39, 18, 25
13, 6, 25

∴ So the LCM of the given numbers is 2 x 3 x 13 x 6 x 25 = 11700

Least Common Multiple of 78,36,25 with GCF Formula

Least Common Multiple of 78,36,25 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 78,36,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,36,25) = 1

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

GCF(78,36,25) x common factors =1 x 6 = 6

LCM(78,36,25) = ( 78 × 36 × 25 ) / 6

LCM(78,36,25) = 70200 / 6

LCM(78,36,25) = 11700


Lets's calculate GCF of 86,74,392

2 86, 74, 392
43, 37, 196

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11700/2

Therefore the LCM of Fractions 78/86,36/74,25/392 is 5850

Greatest Common Factor of 86,74,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,74,392 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 86,74,392 . The biggest common factor number is the GCF number.
So the greatest common factor 86,74,392 is 2.


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 78/86, 36/74, 25/392

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 78/86, 36/74, 25/392?

Answer: LCM of Numerators as per given numbers 78/86, 36/74, 25/392 is

LCM of Numerators i.e. for 78,36,25 is 11700

GCF of denominators i.e. for 86,74,392 is 2.

Thus, LCM of Fractions is 5850.Finally, LCM of Fractions for 78/86, 36/74, 25/392 is 5850.