Least Common Multiple of 14/11, 988/45, 893/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/11, 988/45, 893/284 quickly i.e. 325052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/11, 988/45, 893/284 is 325052.

LCM(14/11, 988/45, 893/284) = 325052

LCM of 14/11, 988/45, 893/284

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 14/11,988/45,893/284

Given numbers are 14/11,988/45,893/284

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 14,988,893

Least Common Multiple of Numerators i.e. LCM of 14,988,893 is 325052.

GCF of Denominators means GCF of 11,45,284 as per the given fractions.

GCF of 11,45,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,988,893

LCM of Fractions 14/11,988/45,893/284 is 325052

2 14, 988, 893
19 7, 494, 893
7, 26, 47

∴ So the LCM of the given numbers is 2 x 19 x 7 x 26 x 47 = 325052

Least Common Multiple of 14,988,893 with GCF Formula

Least Common Multiple of 14,988,893 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 14,988,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,988,893) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(14,988,893) x common factors =1 x 38 = 38

LCM(14,988,893) = ( 14 × 988 × 893 ) / 38

LCM(14,988,893) = 12351976 / 38

LCM(14,988,893) = 325052


Lets's calculate GCF of 11,45,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325052/1

Therefore the LCM of Fractions 14/11,988/45,893/284 is 325052

Greatest Common Factor of 11,45,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,45,284 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 11,45,284 . The biggest common factor number is the GCF number.
So the greatest common factor 11,45,284 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 14/11, 988/45, 893/284

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 14/11, 988/45, 893/284?

Answer: LCM of Numerators as per given numbers 14/11, 988/45, 893/284 is

LCM of Numerators i.e. for 14,988,893 is 325052

GCF of denominators i.e. for 11,45,284 is 1.

Thus, LCM of Fractions is 325052.Finally, LCM of Fractions for 14/11, 988/45, 893/284 is 325052.