Least Common Multiple of 15/38, 105/93, 689/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/38, 105/93, 689/910 quickly i.e. 72345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/38, 105/93, 689/910 is 72345.

LCM(15/38, 105/93, 689/910) = 72345

LCM of 15/38, 105/93, 689/910

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 15/38,105/93,689/910

Given numbers are 15/38,105/93,689/910

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 15,105,689

Least Common Multiple of Numerators i.e. LCM of 15,105,689 is 72345.

GCF of Denominators means GCF of 38,93,910 as per the given fractions.

GCF of 38,93,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,105,689

LCM of Fractions 15/38,105/93,689/910 is 72345

3 15, 105, 689
5 5, 35, 689
1, 7, 689

∴ So the LCM of the given numbers is 3 x 5 x 1 x 7 x 689 = 72345

Least Common Multiple of 15,105,689 with GCF Formula

Least Common Multiple of 15,105,689 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 15,105,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,105,689) = 1

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

GCF(15,105,689) x common factors =1 x 15 = 15

LCM(15,105,689) = ( 15 × 105 × 689 ) / 15

LCM(15,105,689) = 1085175 / 15

LCM(15,105,689) = 72345


Lets's calculate GCF of 38,93,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72345/1

Therefore the LCM of Fractions 15/38,105/93,689/910 is 72345

Greatest Common Factor of 38,93,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,93,910 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 38,93,910 . The biggest common factor number is the GCF number.
So the greatest common factor 38,93,910 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 15/38, 105/93, 689/910

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 15/38, 105/93, 689/910?

Answer: LCM of Numerators as per given numbers 15/38, 105/93, 689/910 is

LCM of Numerators i.e. for 15,105,689 is 72345

GCF of denominators i.e. for 38,93,910 is 1.

Thus, LCM of Fractions is 72345.Finally, LCM of Fractions for 15/38, 105/93, 689/910 is 72345.