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LCM of 910, 901, 986, 402, 518

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


Find the LCM of 910, 901, 986, 402, 518 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 910, 901, 986, 402, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,901,986,402,518

Given numbers are 910,901,986,402,518

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

The LCM of 910,901,986,402,518 is 176832449430.

Find LCM of 910,901,986,402,518 with Prime Factorization


2 910, 901, 986, 402, 518
7 455, 901, 493, 201, 259
17 65, 901, 493, 201, 37
65, 53, 29, 201, 37

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

2 x 7 x 17 x 65 x 53 x 29 x 201 x 37 = 176832449430

Therefore, the lowest common multiple of 910,901,986,402,518 is 176832449430.

LCM Formula to Find Lowest Common Multiple of 910,901,986,402,518

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.

910 x 901 x 986 x 402 x 518 = 168344491857360

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

901 : 1, 17, 53, 901

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,901,986,402,518, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

901:17x 53

986:2x 17x 29

402:2x 3x 67

518:2x 7x 37

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 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 168344491857360/(1x952)

LCM = 168344491857360/952

LCM = 176832449430

Thus, we can understand that the LCM of 910,901,986,402,518 is 176832449430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 901, 986, 402, 518

1. What is the LCM of 910, 901, 986, 402, 518?

Answer: LCM of 910, 901, 986, 402, 518 is 176832449430.

2. How to calculate the LCM of 910, 901, 986, 402, 518?

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 910, 901, 986, 402, 518.

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}.