Least Common Multiple of 344/86, 654/8982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/86, 654/8982 quickly i.e. 56244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/86, 654/8982 is 56244.

LCM(344/86, 654/8982) = 56244

LCM of 344/86, 654/8982

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 344/86,654/8982

Given numbers are 344/86,654/8982

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 344,654

Least Common Multiple of Numerators i.e. LCM of 344,654 is 112488.

GCF of Denominators means GCF of 86,8982 as per the given fractions.

GCF of 86,8982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,654

LCM of Fractions 344/86,654/8982 is 56244

2 344, 654
172, 327

∴ So the LCM of the given numbers is 2 x 172 x 327 = 112488

Least Common Multiple of 344,654 with GCF Formula

Least Common Multiple of 344,654 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 344,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,654) = 2

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

GCF(344,654) x common factors =2 x 1 = 2

LCM(344,654) = ( 344 × 654 ) / 2

LCM(344,654) = 224976 / 2

LCM(344,654) = 112488


Lets's calculate GCF of 86,8982

2 86, 8982
43, 4491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112488/2

Therefore the LCM of Fractions 344/86,654/8982 is 56244

Greatest Common Factor of 86,8982 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,8982 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1,2,3,6,9,18,499,998,1497,2994,4491,8982

Greatest Common Factor

We found the factors 86,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 86,8982 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 344/86, 654/8982

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 344/86, 654/8982?

Answer: LCM of Numerators as per given numbers 344/86, 654/8982 is

LCM of Numerators i.e. for 344,654 is 112488

GCF of denominators i.e. for 86,8982 is 2.

Thus, LCM of Fractions is 56244.Finally, LCM of Fractions for 344/86, 654/8982 is 56244.