Least Common Multiple of 509/906, 1062/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/906, 1062/950 quickly i.e. 270279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/906, 1062/950 is 270279.

LCM(509/906, 1062/950) = 270279

LCM of 509/906, 1062/950

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 509/906,1062/950

Given numbers are 509/906,1062/950

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 509,1062

Least Common Multiple of Numerators i.e. LCM of 509,1062 is 540558.

GCF of Denominators means GCF of 906,950 as per the given fractions.

GCF of 906,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,1062

LCM of Fractions 509/906,1062/950 is 270279

Given numbers has no common factors except 1. So, there LCM is their product i.e 540558

Least Common Multiple of 509,1062 with GCF Formula

Least Common Multiple of 509,1062 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 509,1062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,1062) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(509,1062) x common factors =1 x 1 = 1

LCM(509,1062) = ( 509 × 1062 ) / 1

LCM(509,1062) = 540558 / 1

LCM(509,1062) = 540558


Lets's calculate GCF of 906,950

2 906, 950
453, 475

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540558/2

Therefore the LCM of Fractions 509/906,1062/950 is 270279

Greatest Common Factor of 906,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,950 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 906,950 . The biggest common factor number is the GCF number.
So the greatest common factor 906,950 is 2.


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 509/906, 1062/950

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 509/906, 1062/950?

Answer: LCM of Numerators as per given numbers 509/906, 1062/950 is

LCM of Numerators i.e. for 509,1062 is 540558

GCF of denominators i.e. for 906,950 is 2.

Thus, LCM of Fractions is 270279.Finally, LCM of Fractions for 509/906, 1062/950 is 270279.