Least Common Multiple of 230/12, 988/6445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 230/12, 988/6445 quickly i.e. 113620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/12, 988/6445 is 113620.

LCM(230/12, 988/6445) = 113620

LCM of 230/12, 988/6445

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 230/12,988/6445

Given numbers are 230/12,988/6445

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 230,988

Least Common Multiple of Numerators i.e. LCM of 230,988 is 113620.

GCF of Denominators means GCF of 12,6445 as per the given fractions.

GCF of 12,6445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,988

LCM of Fractions 230/12,988/6445 is 113620

2 230, 988
115, 494

∴ So the LCM of the given numbers is 2 x 115 x 494 = 113620

Least Common Multiple of 230,988 with GCF Formula

Least Common Multiple of 230,988 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 230,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,988) = 2

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

GCF(230,988) x common factors =2 x 1 = 2

LCM(230,988) = ( 230 × 988 ) / 2

LCM(230,988) = 227240 / 2

LCM(230,988) = 113620


Lets's calculate GCF of 12,6445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113620/1

Therefore the LCM of Fractions 230/12,988/6445 is 113620

Greatest Common Factor of 12,6445 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,6445 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 6445

List of positive integer factors of 6445 that divides 6445 without a remainder.

1,5,1289,6445

Greatest Common Factor

We found the factors 12,6445 . The biggest common factor number is the GCF number.
So the greatest common factor 12,6445 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 230/12, 988/6445

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 230/12, 988/6445?

Answer: LCM of Numerators as per given numbers 230/12, 988/6445 is

LCM of Numerators i.e. for 230,988 is 113620

GCF of denominators i.e. for 12,6445 is 1.

Thus, LCM of Fractions is 113620.Finally, LCM of Fractions for 230/12, 988/6445 is 113620.