Least Common Multiple of 514/90, 471/37, 426/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/90, 471/37, 426/45 quickly i.e. 17188674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/90, 471/37, 426/45 is 17188674.

LCM(514/90, 471/37, 426/45) = 17188674

LCM of 514/90, 471/37, 426/45

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 514/90,471/37,426/45

Given numbers are 514/90,471/37,426/45

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 514,471,426

Least Common Multiple of Numerators i.e. LCM of 514,471,426 is 17188674.

GCF of Denominators means GCF of 90,37,45 as per the given fractions.

GCF of 90,37,45 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,471,426

LCM of Fractions 514/90,471/37,426/45 is 17188674

2 514, 471, 426
3 257, 471, 213
257, 157, 71

∴ So the LCM of the given numbers is 2 x 3 x 257 x 157 x 71 = 17188674

Least Common Multiple of 514,471,426 with GCF Formula

Least Common Multiple of 514,471,426 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 514,471,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,471,426) = 1

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

GCF(514,471,426) x common factors =1 x 6 = 6

LCM(514,471,426) = ( 514 × 471 × 426 ) / 6

LCM(514,471,426) = 103132044 / 6

LCM(514,471,426) = 17188674


Lets's calculate GCF of 90,37,45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17188674/1

Therefore the LCM of Fractions 514/90,471/37,426/45 is 17188674

Greatest Common Factor of 90,37,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,37,45 By Matching Biggest Common Factor Method

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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 90,37,45 . The biggest common factor number is the GCF number.
So the greatest common factor 90,37,45 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 514/90, 471/37, 426/45

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 514/90, 471/37, 426/45?

Answer: LCM of Numerators as per given numbers 514/90, 471/37, 426/45 is

LCM of Numerators i.e. for 514,471,426 is 17188674

GCF of denominators i.e. for 90,37,45 is 1.

Thus, LCM of Fractions is 17188674.Finally, LCM of Fractions for 514/90, 471/37, 426/45 is 17188674.