Least Common Multiple of 5017/406, 5010/5070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5017/406, 5010/5070 quickly i.e. 12567585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5017/406, 5010/5070 is 12567585.

LCM(5017/406, 5010/5070) = 12567585

LCM of 5017/406, 5010/5070

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 5017/406,5010/5070

Given numbers are 5017/406,5010/5070

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 5017,5010

Least Common Multiple of Numerators i.e. LCM of 5017,5010 is 25135170.

GCF of Denominators means GCF of 406,5070 as per the given fractions.

GCF of 406,5070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5017,5010

LCM of Fractions 5017/406,5010/5070 is 12567585

Given numbers has no common factors except 1. So, there LCM is their product i.e 25135170

Least Common Multiple of 5017,5010 with GCF Formula

Least Common Multiple of 5017,5010 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 5017,5010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5017,5010) = 1

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

GCF(5017,5010) x common factors =1 x 1 = 1

LCM(5017,5010) = ( 5017 × 5010 ) / 1

LCM(5017,5010) = 25135170 / 1

LCM(5017,5010) = 25135170


Lets's calculate GCF of 406,5070

2 406, 5070
203, 2535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25135170/2

Therefore the LCM of Fractions 5017/406,5010/5070 is 12567585

Greatest Common Factor of 406,5070 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,5070 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070

Greatest Common Factor

We found the factors 406,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 406,5070 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 5017/406, 5010/5070

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 5017/406, 5010/5070?

Answer: LCM of Numerators as per given numbers 5017/406, 5010/5070 is

LCM of Numerators i.e. for 5017,5010 is 25135170

GCF of denominators i.e. for 406,5070 is 2.

Thus, LCM of Fractions is 12567585.Finally, LCM of Fractions for 5017/406, 5010/5070 is 12567585.