Least Common Multiple of 509/339, 214/143, 700/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/339, 214/143, 700/808 quickly i.e. 38124100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/339, 214/143, 700/808 is 38124100.

LCM(509/339, 214/143, 700/808) = 38124100

LCM of 509/339, 214/143, 700/808

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 509/339,214/143,700/808

Given numbers are 509/339,214/143,700/808

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 509,214,700

Least Common Multiple of Numerators i.e. LCM of 509,214,700 is 38124100.

GCF of Denominators means GCF of 339,143,808 as per the given fractions.

GCF of 339,143,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,214,700

LCM of Fractions 509/339,214/143,700/808 is 38124100

2 509, 214, 700
509, 107, 350

∴ So the LCM of the given numbers is 2 x 509 x 107 x 350 = 38124100

Least Common Multiple of 509,214,700 with GCF Formula

Least Common Multiple of 509,214,700 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 509,214,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,214,700) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(509,214,700) x common factors =1 x 2 = 2

LCM(509,214,700) = ( 509 × 214 × 700 ) / 2

LCM(509,214,700) = 76248200 / 2

LCM(509,214,700) = 38124100


Lets's calculate GCF of 339,143,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38124100/1

Therefore the LCM of Fractions 509/339,214/143,700/808 is 38124100

Greatest Common Factor of 339,143,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,143,808 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 339,143,808 . The biggest common factor number is the GCF number.
So the greatest common factor 339,143,808 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 509/339, 214/143, 700/808

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 509/339, 214/143, 700/808?

Answer: LCM of Numerators as per given numbers 509/339, 214/143, 700/808 is

LCM of Numerators i.e. for 509,214,700 is 38124100

GCF of denominators i.e. for 339,143,808 is 1.

Thus, LCM of Fractions is 38124100.Finally, LCM of Fractions for 509/339, 214/143, 700/808 is 38124100.