Least Common Multiple of 51/44, 40/19, 86/59, 75/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/44, 40/19, 86/59, 75/474 quickly i.e. 438600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/44, 40/19, 86/59, 75/474 is 438600.

LCM(51/44, 40/19, 86/59, 75/474) = 438600

LCM of 51/44, 40/19, 86/59, 75/474

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 51/44,40/19,86/59,75/474

Given numbers are 51/44,40/19,86/59,75/474

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 51,40,86,75

Least Common Multiple of Numerators i.e. LCM of 51,40,86,75 is 438600.

GCF of Denominators means GCF of 44,19,59,474 as per the given fractions.

GCF of 44,19,59,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,40,86,75

LCM of Fractions 51/44,40/19,86/59,75/474 is 438600

2 51, 40, 86, 75
3 51, 20, 43, 75
5 17, 20, 43, 25
17, 4, 43, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 4 x 43 x 5 = 438600

Least Common Multiple of 51,40,86,75 with GCF Formula

Least Common Multiple of 51,40,86,75 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 51,40,86,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,40,86,75) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(51,40,86,75) x common factors =1 x 30 = 30

LCM(51,40,86,75) = ( 51 × 40 × 86 × 75 ) / 30

LCM(51,40,86,75) = 13158000 / 30

LCM(51,40,86,75) = 438600


Lets's calculate GCF of 44,19,59,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438600/1

Therefore the LCM of Fractions 51/44,40/19,86/59,75/474 is 438600

Greatest Common Factor of 44,19,59,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,19,59,474 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 44,19,59,474 . The biggest common factor number is the GCF number.
So the greatest common factor 44,19,59,474 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 51/44, 40/19, 86/59, 75/474

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 51/44, 40/19, 86/59, 75/474?

Answer: LCM of Numerators as per given numbers 51/44, 40/19, 86/59, 75/474 is

LCM of Numerators i.e. for 51,40,86,75 is 438600

GCF of denominators i.e. for 44,19,59,474 is 1.

Thus, LCM of Fractions is 438600.Finally, LCM of Fractions for 51/44, 40/19, 86/59, 75/474 is 438600.