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LCM of 901, 767, 675, 689, 399

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


Find the LCM of 901, 767, 675, 689, 399 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 901, 767, 675, 689, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,767,675,689,399

Given numbers are 901,767,675,689,399

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

The LCM of 901,767,675,689,399 is 62040539925.

Find LCM of 901,767,675,689,399 with Prime Factorization


3 901, 767, 675, 689, 399
13 901, 767, 225, 689, 133
53 901, 59, 225, 53, 133
17, 59, 225, 1, 133

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

3 x 13 x 53 x 17 x 59 x 225 x 1 x 133 = 62040539925

Therefore, the lowest common multiple of 901,767,675,689,399 is 62040539925.

LCM Formula to Find Lowest Common Multiple of 901,767,675,689,399

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.

901 x 767 x 675 x 689 x 399 = 128237796024975

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.

901 : 1, 17, 53, 901

767 : 1, 13, 59, 767

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

689 : 1, 13, 53, 689

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,767,675,689,399, is 1.

Now, the common factors can be found like this.

901:17x 53

767:13x 59

675:3x 3x 3x 5x 5

689:13x 53

399:3x 7x 19

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

3x 13x 53 = 2067

Therefore, the value for common factors is 2067.

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 = 128237796024975/(1x2067)

LCM = 128237796024975/2067

LCM = 62040539925

Thus, we can understand that the LCM of 901,767,675,689,399 is 62040539925.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 767, 675, 689, 399

1. What is the LCM of 901, 767, 675, 689, 399?

Answer: LCM of 901, 767, 675, 689, 399 is 62040539925.

2. How to calculate the LCM of 901, 767, 675, 689, 399?

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 901, 767, 675, 689, 399.

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}.