Least Common Multiple of 74/13, 88/56, 39/25, 71/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/13, 88/56, 39/25, 71/390 quickly i.e. 9015864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/13, 88/56, 39/25, 71/390 is 9015864.

LCM(74/13, 88/56, 39/25, 71/390) = 9015864

LCM of 74/13, 88/56, 39/25, 71/390

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 74/13,88/56,39/25,71/390

Given numbers are 74/13,88/56,39/25,71/390

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 74,88,39,71

Least Common Multiple of Numerators i.e. LCM of 74,88,39,71 is 9015864.

GCF of Denominators means GCF of 13,56,25,390 as per the given fractions.

GCF of 13,56,25,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,88,39,71

LCM of Fractions 74/13,88/56,39/25,71/390 is 9015864

2 74, 88, 39, 71
37, 44, 39, 71

∴ So the LCM of the given numbers is 2 x 37 x 44 x 39 x 71 = 9015864

Least Common Multiple of 74,88,39,71 with GCF Formula

Least Common Multiple of 74,88,39,71 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 74,88,39,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,88,39,71) = 1

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

GCF(74,88,39,71) x common factors =1 x 2 = 2

LCM(74,88,39,71) = ( 74 × 88 × 39 × 71 ) / 2

LCM(74,88,39,71) = 18031728 / 2

LCM(74,88,39,71) = 9015864


Lets's calculate GCF of 13,56,25,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9015864/1

Therefore the LCM of Fractions 74/13,88/56,39/25,71/390 is 9015864

Greatest Common Factor of 13,56,25,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,56,25,390 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 13,56,25,390 . The biggest common factor number is the GCF number.
So the greatest common factor 13,56,25,390 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 74/13, 88/56, 39/25, 71/390

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 74/13, 88/56, 39/25, 71/390?

Answer: LCM of Numerators as per given numbers 74/13, 88/56, 39/25, 71/390 is

LCM of Numerators i.e. for 74,88,39,71 is 9015864

GCF of denominators i.e. for 13,56,25,390 is 1.

Thus, LCM of Fractions is 9015864.Finally, LCM of Fractions for 74/13, 88/56, 39/25, 71/390 is 9015864.