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LCM of 961, 230, 728, 104, 856

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


Find the LCM of 961, 230, 728, 104, 856 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 961, 230, 728, 104, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,230,728,104,856

Given numbers are 961,230,728,104,856

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

The LCM of 961,230,728,104,856 is 8608676440.

Find LCM of 961,230,728,104,856 with Prime Factorization


2 961, 230, 728, 104, 856
2 961, 115, 364, 52, 428
2 961, 115, 182, 26, 214
13 961, 115, 91, 13, 107
961, 115, 7, 1, 107

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

2 x 2 x 2 x 13 x 961 x 115 x 7 x 1 x 107 = 8608676440

Therefore, the lowest common multiple of 961,230,728,104,856 is 8608676440.

LCM Formula to Find Lowest Common Multiple of 961,230,728,104,856

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.

961 x 230 x 728 x 104 x 856 = 14324837596160

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.

961 : 1, 31, 961

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,230,728,104,856, is 1.

Now, the common factors can be found like this.

961:31x 31

230:2x 5x 23

728:2x 2x 2x 7x 13

104:2x 2x 2x 13

856:2x 2x 2x 107

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 2x 2x 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 14324837596160/(1x1664)

LCM = 14324837596160/1664

LCM = 8608676440

Thus, we can understand that the LCM of 961,230,728,104,856 is 8608676440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 230, 728, 104, 856

1. What is the LCM of 961, 230, 728, 104, 856?

Answer: LCM of 961, 230, 728, 104, 856 is 8608676440.

2. How to calculate the LCM of 961, 230, 728, 104, 856?

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 961, 230, 728, 104, 856.

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}.