Least Common Multiple of 83/510, 80/821, 950/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/510, 80/821, 950/283 quickly i.e. 630800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/510, 80/821, 950/283 is 630800.

LCM(83/510, 80/821, 950/283) = 630800

LCM of 83/510, 80/821, 950/283

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 83/510,80/821,950/283

Given numbers are 83/510,80/821,950/283

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 83,80,950

Least Common Multiple of Numerators i.e. LCM of 83,80,950 is 630800.

GCF of Denominators means GCF of 510,821,283 as per the given fractions.

GCF of 510,821,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,80,950

LCM of Fractions 83/510,80/821,950/283 is 630800

2 83, 80, 950
5 83, 40, 475
83, 8, 95

∴ So the LCM of the given numbers is 2 x 5 x 83 x 8 x 95 = 630800

Least Common Multiple of 83,80,950 with GCF Formula

Least Common Multiple of 83,80,950 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 83,80,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,80,950) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(83,80,950) x common factors =1 x 10 = 10

LCM(83,80,950) = ( 83 × 80 × 950 ) / 10

LCM(83,80,950) = 6308000 / 10

LCM(83,80,950) = 630800


Lets's calculate GCF of 510,821,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630800/1

Therefore the LCM of Fractions 83/510,80/821,950/283 is 630800

Greatest Common Factor of 510,821,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,821,283 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 510,821,283 . The biggest common factor number is the GCF number.
So the greatest common factor 510,821,283 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 83/510, 80/821, 950/283

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 83/510, 80/821, 950/283?

Answer: LCM of Numerators as per given numbers 83/510, 80/821, 950/283 is

LCM of Numerators i.e. for 83,80,950 is 630800

GCF of denominators i.e. for 510,821,283 is 1.

Thus, LCM of Fractions is 630800.Finally, LCM of Fractions for 83/510, 80/821, 950/283 is 630800.