Least Common Multiple of 586/731, 3769/3422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/731, 3769/3422 quickly i.e. 2208634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/731, 3769/3422 is 2208634.

LCM(586/731, 3769/3422) = 2208634

LCM of 586/731, 3769/3422

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 586/731,3769/3422

Given numbers are 586/731,3769/3422

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 586,3769

Least Common Multiple of Numerators i.e. LCM of 586,3769 is 2208634.

GCF of Denominators means GCF of 731,3422 as per the given fractions.

GCF of 731,3422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,3769

LCM of Fractions 586/731,3769/3422 is 2208634

Given numbers has no common factors except 1. So, there LCM is their product i.e 2208634

Least Common Multiple of 586,3769 with GCF Formula

Least Common Multiple of 586,3769 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 586,3769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,3769) = 1

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

GCF(586,3769) x common factors =1 x 1 = 1

LCM(586,3769) = ( 586 × 3769 ) / 1

LCM(586,3769) = 2208634 / 1

LCM(586,3769) = 2208634


Lets's calculate GCF of 731,3422

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2208634/1

Therefore the LCM of Fractions 586/731,3769/3422 is 2208634

Greatest Common Factor of 731,3422 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,3422 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1,2,29,58,59,118,1711,3422

Greatest Common Factor

We found the factors 731,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 731,3422 is 1.


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 586/731, 3769/3422

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 586/731, 3769/3422?

Answer: LCM of Numerators as per given numbers 586/731, 3769/3422 is

LCM of Numerators i.e. for 586,3769 is 2208634

GCF of denominators i.e. for 731,3422 is 1.

Thus, LCM of Fractions is 2208634.Finally, LCM of Fractions for 586/731, 3769/3422 is 2208634.