Least Common Multiple of 74/13, 86/90, 214/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/13, 86/90, 214/478 quickly i.e. 340474 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, 86/90, 214/478 is 340474.

LCM(74/13, 86/90, 214/478) = 340474

LCM of 74/13, 86/90, 214/478

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 74/13,86/90,214/478

Given numbers are 74/13,86/90,214/478

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 74,86,214

Least Common Multiple of Numerators i.e. LCM of 74,86,214 is 340474.

GCF of Denominators means GCF of 13,90,478 as per the given fractions.

GCF of 13,90,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,86,214

LCM of Fractions 74/13,86/90,214/478 is 340474

2 74, 86, 214
37, 43, 107

∴ So the LCM of the given numbers is 2 x 37 x 43 x 107 = 340474

Least Common Multiple of 74,86,214 with GCF Formula

Least Common Multiple of 74,86,214 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 74,86,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,86,214) = 2

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

GCF(74,86,214) x common factors =2 x 2 = 4

LCM(74,86,214) = ( 74 × 86 × 214 ) / 4

LCM(74,86,214) = 1361896 / 4

LCM(74,86,214) = 340474


Lets's calculate GCF of 13,90,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340474/1

Therefore the LCM of Fractions 74/13,86/90,214/478 is 340474

Greatest Common Factor of 13,90,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,90,478 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 13,90,478 . The biggest common factor number is the GCF number.
So the greatest common factor 13,90,478 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, 86/90, 214/478

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, 86/90, 214/478?

Answer: LCM of Numerators as per given numbers 74/13, 86/90, 214/478 is

LCM of Numerators i.e. for 74,86,214 is 340474

GCF of denominators i.e. for 13,90,478 is 1.

Thus, LCM of Fractions is 340474.Finally, LCM of Fractions for 74/13, 86/90, 214/478 is 340474.