Least Common Multiple of 213/581, 8612/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/581, 8612/497 quickly i.e. 1834356/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/581, 8612/497 is 1834356/7.

LCM(213/581, 8612/497) = 1834356/7

LCM of 213/581, 8612/497

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 213/581,8612/497

Given numbers are 213/581,8612/497

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 213,8612

Least Common Multiple of Numerators i.e. LCM of 213,8612 is 1834356.

GCF of Denominators means GCF of 581,497 as per the given fractions.

GCF of 581,497 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,8612

LCM of Fractions 213/581,8612/497 is 1834356/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 1834356

Least Common Multiple of 213,8612 with GCF Formula

Least Common Multiple of 213,8612 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 213,8612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,8612) = 1

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

GCF(213,8612) x common factors =1 x 1 = 1

LCM(213,8612) = ( 213 × 8612 ) / 1

LCM(213,8612) = 1834356 / 1

LCM(213,8612) = 1834356


Lets's calculate GCF of 581,497

7 581, 497
83, 71

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1834356/7

Therefore the LCM of Fractions 213/581,8612/497 is 1834356/7

Greatest Common Factor of 581,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,497 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 581,497 . The biggest common factor number is the GCF number.
So the greatest common factor 581,497 is 7.


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 213/581, 8612/497

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 213/581, 8612/497?

Answer: LCM of Numerators as per given numbers 213/581, 8612/497 is

LCM of Numerators i.e. for 213,8612 is 1834356

GCF of denominators i.e. for 581,497 is 7.

Thus, LCM of Fractions is 1834356/7.Finally, LCM of Fractions for 213/581, 8612/497 is 1834356/7.