Least Common Multiple of 344/406, 8827/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/406, 8827/968 quickly i.e. 1518244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/406, 8827/968 is 1518244.

LCM(344/406, 8827/968) = 1518244

LCM of 344/406, 8827/968

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 344/406,8827/968

Given numbers are 344/406,8827/968

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 344,8827

Least Common Multiple of Numerators i.e. LCM of 344,8827 is 3036488.

GCF of Denominators means GCF of 406,968 as per the given fractions.

GCF of 406,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,8827

LCM of Fractions 344/406,8827/968 is 1518244

Given numbers has no common factors except 1. So, there LCM is their product i.e 3036488

Least Common Multiple of 344,8827 with GCF Formula

Least Common Multiple of 344,8827 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 344,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,8827) = 1

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

GCF(344,8827) x common factors =1 x 1 = 1

LCM(344,8827) = ( 344 × 8827 ) / 1

LCM(344,8827) = 3036488 / 1

LCM(344,8827) = 3036488


Lets's calculate GCF of 406,968

2 406, 968
203, 484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3036488/2

Therefore the LCM of Fractions 344/406,8827/968 is 1518244

Greatest Common Factor of 406,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,968 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 406,968 . The biggest common factor number is the GCF number.
So the greatest common factor 406,968 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 344/406, 8827/968

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 344/406, 8827/968?

Answer: LCM of Numerators as per given numbers 344/406, 8827/968 is

LCM of Numerators i.e. for 344,8827 is 3036488

GCF of denominators i.e. for 406,968 is 2.

Thus, LCM of Fractions is 1518244.Finally, LCM of Fractions for 344/406, 8827/968 is 1518244.