Least Common Multiple of 14/241, 887/930, 989/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/241, 887/930, 989/152 quickly i.e. 12281402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/241, 887/930, 989/152 is 12281402.

LCM(14/241, 887/930, 989/152) = 12281402

LCM of 14/241, 887/930, 989/152

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 14/241,887/930,989/152

Given numbers are 14/241,887/930,989/152

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 14,887,989

Least Common Multiple of Numerators i.e. LCM of 14,887,989 is 12281402.

GCF of Denominators means GCF of 241,930,152 as per the given fractions.

GCF of 241,930,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,887,989

LCM of Fractions 14/241,887/930,989/152 is 12281402

Given numbers has no common factors except 1. So, there LCM is their product i.e 12281402

Least Common Multiple of 14,887,989 with GCF Formula

Least Common Multiple of 14,887,989 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 14,887,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,887,989) = 1

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

GCF(14,887,989) x common factors =1 x 1 = 1

LCM(14,887,989) = ( 14 × 887 × 989 ) / 1

LCM(14,887,989) = 12281402 / 1

LCM(14,887,989) = 12281402


Lets's calculate GCF of 241,930,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12281402/1

Therefore the LCM of Fractions 14/241,887/930,989/152 is 12281402

Greatest Common Factor of 241,930,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,930,152 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 241,930,152 . The biggest common factor number is the GCF number.
So the greatest common factor 241,930,152 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 14/241, 887/930, 989/152

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 14/241, 887/930, 989/152?

Answer: LCM of Numerators as per given numbers 14/241, 887/930, 989/152 is

LCM of Numerators i.e. for 14,887,989 is 12281402

GCF of denominators i.e. for 241,930,152 is 1.

Thus, LCM of Fractions is 12281402.Finally, LCM of Fractions for 14/241, 887/930, 989/152 is 12281402.