Least Common Multiple of 50/306, 81/525, 891/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/306, 81/525, 891/426 quickly i.e. 14850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/306, 81/525, 891/426 is 14850.

LCM(50/306, 81/525, 891/426) = 14850

LCM of 50/306, 81/525, 891/426

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 50/306,81/525,891/426

Given numbers are 50/306,81/525,891/426

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 50,81,891

Least Common Multiple of Numerators i.e. LCM of 50,81,891 is 44550.

GCF of Denominators means GCF of 306,525,426 as per the given fractions.

GCF of 306,525,426 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,81,891

LCM of Fractions 50/306,81/525,891/426 is 14850

3 50, 81, 891
3 50, 27, 297
3 50, 9, 99
3 50, 3, 33
50, 1, 11

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 50 x 1 x 11 = 44550

Least Common Multiple of 50,81,891 with GCF Formula

Least Common Multiple of 50,81,891 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 50,81,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,81,891) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(50,81,891) x common factors =1 x 81 = 81

LCM(50,81,891) = ( 50 × 81 × 891 ) / 81

LCM(50,81,891) = 3608550 / 81

LCM(50,81,891) = 44550


Lets's calculate GCF of 306,525,426

3 306, 525, 426
102, 175, 142

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44550/3

Therefore the LCM of Fractions 50/306,81/525,891/426 is 14850

Greatest Common Factor of 306,525,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,525,426 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 306,525,426 . The biggest common factor number is the GCF number.
So the greatest common factor 306,525,426 is 3.


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 50/306, 81/525, 891/426

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 50/306, 81/525, 891/426?

Answer: LCM of Numerators as per given numbers 50/306, 81/525, 891/426 is

LCM of Numerators i.e. for 50,81,891 is 44550

GCF of denominators i.e. for 306,525,426 is 3.

Thus, LCM of Fractions is 14850.Finally, LCM of Fractions for 50/306, 81/525, 891/426 is 14850.