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LCM of 845, 877, 352, 986

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


Find the LCM of 845, 877, 352, 986 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 845, 877, 352, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,877,352,986

Given numbers are 845,877,352,986

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

The LCM of 845,877,352,986 is 128601455840.

Find LCM of 845,877,352,986 with Prime Factorization


2 845, 877, 352, 986
845, 877, 176, 493

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

2 x 845 x 877 x 176 x 493 = 128601455840

Therefore, the lowest common multiple of 845,877,352,986 is 128601455840.

LCM Formula to Find Lowest Common Multiple of 845,877,352,986

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.

845 x 877 x 352 x 986 = 257202911680

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.

845 : 1, 5, 13, 65, 169, 845

877 : 1, 877

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,877,352,986, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

877:877

352:2x 2x 2x 2x 2x 11

986:2x 17x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 257202911680/(1x2)

LCM = 257202911680/2

LCM = 128601455840

Thus, we can understand that the LCM of 845,877,352,986 is 128601455840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 877, 352, 986

1. What is the LCM of 845, 877, 352, 986?

Answer: LCM of 845, 877, 352, 986 is 128601455840.

2. How to calculate the LCM of 845, 877, 352, 986?

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 845, 877, 352, 986.

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}.