Least Common Multiple of 585/502, 3076/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 585/502, 3076/950 quickly i.e. 899730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/502, 3076/950 is 899730.

LCM(585/502, 3076/950) = 899730

LCM of 585/502, 3076/950

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 585/502,3076/950

Given numbers are 585/502,3076/950

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 585,3076

Least Common Multiple of Numerators i.e. LCM of 585,3076 is 1799460.

GCF of Denominators means GCF of 502,950 as per the given fractions.

GCF of 502,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,3076

LCM of Fractions 585/502,3076/950 is 899730

Given numbers has no common factors except 1. So, there LCM is their product i.e 1799460

Least Common Multiple of 585,3076 with GCF Formula

Least Common Multiple of 585,3076 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 585,3076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,3076) = 1

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

GCF(585,3076) x common factors =1 x 1 = 1

LCM(585,3076) = ( 585 × 3076 ) / 1

LCM(585,3076) = 1799460 / 1

LCM(585,3076) = 1799460


Lets's calculate GCF of 502,950

2 502, 950
251, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1799460/2

Therefore the LCM of Fractions 585/502,3076/950 is 899730

Greatest Common Factor of 502,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,950 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

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 502,950 . The biggest common factor number is the GCF number.
So the greatest common factor 502,950 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 585/502, 3076/950

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 585/502, 3076/950?

Answer: LCM of Numerators as per given numbers 585/502, 3076/950 is

LCM of Numerators i.e. for 585,3076 is 1799460

GCF of denominators i.e. for 502,950 is 2.

Thus, LCM of Fractions is 899730.Finally, LCM of Fractions for 585/502, 3076/950 is 899730.