Least Common Multiple of 5790/686, 3223/2274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5790/686, 3223/2274 quickly i.e. 9330585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5790/686, 3223/2274 is 9330585.

LCM(5790/686, 3223/2274) = 9330585

LCM of 5790/686, 3223/2274

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 5790/686,3223/2274

Given numbers are 5790/686,3223/2274

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 5790,3223

Least Common Multiple of Numerators i.e. LCM of 5790,3223 is 18661170.

GCF of Denominators means GCF of 686,2274 as per the given fractions.

GCF of 686,2274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5790,3223

LCM of Fractions 5790/686,3223/2274 is 9330585

Given numbers has no common factors except 1. So, there LCM is their product i.e 18661170

Least Common Multiple of 5790,3223 with GCF Formula

Least Common Multiple of 5790,3223 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 5790,3223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5790,3223) = 1

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

GCF(5790,3223) x common factors =1 x 1 = 1

LCM(5790,3223) = ( 5790 × 3223 ) / 1

LCM(5790,3223) = 18661170 / 1

LCM(5790,3223) = 18661170


Lets's calculate GCF of 686,2274

2 686, 2274
343, 1137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18661170/2

Therefore the LCM of Fractions 5790/686,3223/2274 is 9330585

Greatest Common Factor of 686,2274 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,2274 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 2274

List of positive integer factors of 2274 that divides 2274 without a remainder.

1,2,3,6,379,758,1137,2274

Greatest Common Factor

We found the factors 686,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 686,2274 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 5790/686, 3223/2274

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 5790/686, 3223/2274?

Answer: LCM of Numerators as per given numbers 5790/686, 3223/2274 is

LCM of Numerators i.e. for 5790,3223 is 18661170

GCF of denominators i.e. for 686,2274 is 2.

Thus, LCM of Fractions is 9330585.Finally, LCM of Fractions for 5790/686, 3223/2274 is 9330585.