Least Common Multiple of 50/803, 276/57, 900/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/803, 276/57, 900/409 quickly i.e. 20700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/803, 276/57, 900/409 is 20700.

LCM(50/803, 276/57, 900/409) = 20700

LCM of 50/803, 276/57, 900/409

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 50/803,276/57,900/409

Given numbers are 50/803,276/57,900/409

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 50,276,900

Least Common Multiple of Numerators i.e. LCM of 50,276,900 is 20700.

GCF of Denominators means GCF of 803,57,409 as per the given fractions.

GCF of 803,57,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,276,900

LCM of Fractions 50/803,276/57,900/409 is 20700

2 50, 276, 900
2 25, 138, 450
3 25, 69, 225
5 25, 23, 75
5 5, 23, 15
1, 23, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 1 x 23 x 3 = 20700

Least Common Multiple of 50,276,900 with GCF Formula

Least Common Multiple of 50,276,900 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 50,276,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,276,900) = 2

common factors(in case of two or more numbers have common factors) = 300

GCF(50,276,900) x common factors =2 x 300 = 600

LCM(50,276,900) = ( 50 × 276 × 900 ) / 600

LCM(50,276,900) = 12420000 / 600

LCM(50,276,900) = 20700


Lets's calculate GCF of 803,57,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20700/1

Therefore the LCM of Fractions 50/803,276/57,900/409 is 20700

Greatest Common Factor of 803,57,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,57,409 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 803,57,409 . The biggest common factor number is the GCF number.
So the greatest common factor 803,57,409 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 50/803, 276/57, 900/409

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 50/803, 276/57, 900/409?

Answer: LCM of Numerators as per given numbers 50/803, 276/57, 900/409 is

LCM of Numerators i.e. for 50,276,900 is 20700

GCF of denominators i.e. for 803,57,409 is 1.

Thus, LCM of Fractions is 20700.Finally, LCM of Fractions for 50/803, 276/57, 900/409 is 20700.