Least Common Multiple of 15/437, 70/191, 999/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/437, 70/191, 999/440 quickly i.e. 69930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/437, 70/191, 999/440 is 69930.

LCM(15/437, 70/191, 999/440) = 69930

LCM of 15/437, 70/191, 999/440

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 15/437,70/191,999/440

Given numbers are 15/437,70/191,999/440

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 15,70,999

Least Common Multiple of Numerators i.e. LCM of 15,70,999 is 69930.

GCF of Denominators means GCF of 437,191,440 as per the given fractions.

GCF of 437,191,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,70,999

LCM of Fractions 15/437,70/191,999/440 is 69930

3 15, 70, 999
5 5, 70, 333
1, 14, 333

∴ So the LCM of the given numbers is 3 x 5 x 1 x 14 x 333 = 69930

Least Common Multiple of 15,70,999 with GCF Formula

Least Common Multiple of 15,70,999 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 15,70,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,70,999) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,70,999) x common factors =1 x 15 = 15

LCM(15,70,999) = ( 15 × 70 × 999 ) / 15

LCM(15,70,999) = 1048950 / 15

LCM(15,70,999) = 69930


Lets's calculate GCF of 437,191,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69930/1

Therefore the LCM of Fractions 15/437,70/191,999/440 is 69930

Greatest Common Factor of 437,191,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,191,440 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 437,191,440 . The biggest common factor number is the GCF number.
So the greatest common factor 437,191,440 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 15/437, 70/191, 999/440

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 15/437, 70/191, 999/440?

Answer: LCM of Numerators as per given numbers 15/437, 70/191, 999/440 is

LCM of Numerators i.e. for 15,70,999 is 69930

GCF of denominators i.e. for 437,191,440 is 1.

Thus, LCM of Fractions is 69930.Finally, LCM of Fractions for 15/437, 70/191, 999/440 is 69930.