Least Common Multiple of 3185/253, 8437/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3185/253, 8437/506 quickly i.e. 2067065/253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3185/253, 8437/506 is 2067065/253.

LCM(3185/253, 8437/506) = 2067065/253

LCM of 3185/253, 8437/506

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 3185/253,8437/506

Given numbers are 3185/253,8437/506

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 3185,8437

Least Common Multiple of Numerators i.e. LCM of 3185,8437 is 2067065.

GCF of Denominators means GCF of 253,506 as per the given fractions.

GCF of 253,506 is 253 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3185,8437

LCM of Fractions 3185/253,8437/506 is 2067065/253

13 3185, 8437
245, 649

∴ So the LCM of the given numbers is 13 x 245 x 649 = 2067065

Least Common Multiple of 3185,8437 with GCF Formula

Least Common Multiple of 3185,8437 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 3185,8437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3185,8437) = 13

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

GCF(3185,8437) x common factors =13 x 1 = 13

LCM(3185,8437) = ( 3185 × 8437 ) / 13

LCM(3185,8437) = 26871845 / 13

LCM(3185,8437) = 2067065


Lets's calculate GCF of 253,506

11 253, 506
23 23, 46
1, 2

∴ So the GCF of the given numbers is 11 x 23 = 253

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2067065/253

Therefore the LCM of Fractions 3185/253,8437/506 is 2067065/253

Greatest Common Factor of 253,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,506 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 253,506 . The biggest common factor number is the GCF number.
So the greatest common factor 253,506 is 253.


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 3185/253, 8437/506

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 3185/253, 8437/506?

Answer: LCM of Numerators as per given numbers 3185/253, 8437/506 is

LCM of Numerators i.e. for 3185,8437 is 2067065

GCF of denominators i.e. for 253,506 is 253.

Thus, LCM of Fractions is 2067065/253.Finally, LCM of Fractions for 3185/253, 8437/506 is 2067065/253.