Least Common Multiple of 3423/373, 2269/3414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3423/373, 2269/3414 quickly i.e. 7766787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3423/373, 2269/3414 is 7766787.

LCM(3423/373, 2269/3414) = 7766787

LCM of 3423/373, 2269/3414

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 3423/373,2269/3414

Given numbers are 3423/373,2269/3414

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 3423,2269

Least Common Multiple of Numerators i.e. LCM of 3423,2269 is 7766787.

GCF of Denominators means GCF of 373,3414 as per the given fractions.

GCF of 373,3414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3423,2269

LCM of Fractions 3423/373,2269/3414 is 7766787

Given numbers has no common factors except 1. So, there LCM is their product i.e 7766787

Least Common Multiple of 3423,2269 with GCF Formula

Least Common Multiple of 3423,2269 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 3423,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3423,2269) = 1

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

GCF(3423,2269) x common factors =1 x 1 = 1

LCM(3423,2269) = ( 3423 × 2269 ) / 1

LCM(3423,2269) = 7766787 / 1

LCM(3423,2269) = 7766787


Lets's calculate GCF of 373,3414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7766787/1

Therefore the LCM of Fractions 3423/373,2269/3414 is 7766787

Greatest Common Factor of 373,3414 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,3414 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors 373,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 373,3414 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 3423/373, 2269/3414

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 3423/373, 2269/3414?

Answer: LCM of Numerators as per given numbers 3423/373, 2269/3414 is

LCM of Numerators i.e. for 3423,2269 is 7766787

GCF of denominators i.e. for 373,3414 is 1.

Thus, LCM of Fractions is 7766787.Finally, LCM of Fractions for 3423/373, 2269/3414 is 7766787.