Least Common Multiple of 15/731, 38/528, 105/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/731, 38/528, 105/556 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/731, 38/528, 105/556 is 3990.

LCM(15/731, 38/528, 105/556) = 3990

LCM of 15/731, 38/528, 105/556

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 15/731,38/528,105/556

Given numbers are 15/731,38/528,105/556

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 15,38,105

Least Common Multiple of Numerators i.e. LCM of 15,38,105 is 3990.

GCF of Denominators means GCF of 731,528,556 as per the given fractions.

GCF of 731,528,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,38,105

LCM of Fractions 15/731,38/528,105/556 is 3990

3 15, 38, 105
5 5, 38, 35
1, 38, 7

∴ So the LCM of the given numbers is 3 x 5 x 1 x 38 x 7 = 3990

Least Common Multiple of 15,38,105 with GCF Formula

Least Common Multiple of 15,38,105 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 15,38,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,38,105) = 1

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

GCF(15,38,105) x common factors =1 x 15 = 15

LCM(15,38,105) = ( 15 × 38 × 105 ) / 15

LCM(15,38,105) = 59850 / 15

LCM(15,38,105) = 3990


Lets's calculate GCF of 731,528,556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3990/1

Therefore the LCM of Fractions 15/731,38/528,105/556 is 3990

Greatest Common Factor of 731,528,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,528,556 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 731,528,556 . The biggest common factor number is the GCF number.
So the greatest common factor 731,528,556 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 15/731, 38/528, 105/556

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 15/731, 38/528, 105/556?

Answer: LCM of Numerators as per given numbers 15/731, 38/528, 105/556 is

LCM of Numerators i.e. for 15,38,105 is 3990

GCF of denominators i.e. for 731,528,556 is 1.

Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 15/731, 38/528, 105/556 is 3990.