LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 941, 269, 172, 728, 917

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 941, 269, 172, 728, 917 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 941, 269, 172, 728, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,269,172,728,917

Given numbers are 941,269,172,728,917

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 941,269,172,728,917 is 1038037478296.

Find LCM of 941,269,172,728,917 with Prime Factorization


2 941, 269, 172, 728, 917
2 941, 269, 86, 364, 917
7 941, 269, 43, 182, 917
941, 269, 43, 26, 131

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 941 x 269 x 43 x 26 x 131 = 1038037478296

Therefore, the lowest common multiple of 941,269,172,728,917 is 1038037478296.

LCM Formula to Find Lowest Common Multiple of 941,269,172,728,917

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

941 x 269 x 172 x 728 x 917 = 29065049392288

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

941 : 1, 941

269 : 1, 269

172 : 1, 2, 4, 43, 86, 172

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,269,172,728,917, is 1.

Now, the common factors can be found like this.

941:941

269:269

172:2x 2x 43

728:2x 2x 2x 7x 13

917:7x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 7 = 28

Therefore, the value for common factors is 28.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29065049392288/(1x28)

LCM = 29065049392288/28

LCM = 1038037478296

Thus, we can understand that the LCM of 941,269,172,728,917 is 1038037478296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 269, 172, 728, 917

1. What is the LCM of 941, 269, 172, 728, 917?

Answer: LCM of 941, 269, 172, 728, 917 is 1038037478296.

2. How to calculate the LCM of 941, 269, 172, 728, 917?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 941, 269, 172, 728, 917.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.