Least Common Multiple of 15/712, 826/914, 105/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/712, 826/914, 105/943 quickly i.e. 12390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/712, 826/914, 105/943 is 12390.

LCM(15/712, 826/914, 105/943) = 12390

LCM of 15/712, 826/914, 105/943

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 15/712,826/914,105/943

Given numbers are 15/712,826/914,105/943

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 15,826,105

Least Common Multiple of Numerators i.e. LCM of 15,826,105 is 12390.

GCF of Denominators means GCF of 712,914,943 as per the given fractions.

GCF of 712,914,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,826,105

LCM of Fractions 15/712,826/914,105/943 is 12390

3 15, 826, 105
5 5, 826, 35
7 1, 826, 7
1, 118, 1

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 118 x 1 = 12390

Least Common Multiple of 15,826,105 with GCF Formula

Least Common Multiple of 15,826,105 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 15,826,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,826,105) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(15,826,105) x common factors =1 x 105 = 105

LCM(15,826,105) = ( 15 × 826 × 105 ) / 105

LCM(15,826,105) = 1300950 / 105

LCM(15,826,105) = 12390


Lets's calculate GCF of 712,914,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12390/1

Therefore the LCM of Fractions 15/712,826/914,105/943 is 12390

Greatest Common Factor of 712,914,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,914,943 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 712,914,943 . The biggest common factor number is the GCF number.
So the greatest common factor 712,914,943 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 15/712, 826/914, 105/943

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 15/712, 826/914, 105/943?

Answer: LCM of Numerators as per given numbers 15/712, 826/914, 105/943 is

LCM of Numerators i.e. for 15,826,105 is 12390

GCF of denominators i.e. for 712,914,943 is 1.

Thus, LCM of Fractions is 12390.Finally, LCM of Fractions for 15/712, 826/914, 105/943 is 12390.