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LCM of 440, 374, 869, 207, 920

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


Find the LCM of 440, 374, 869, 207, 920 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 440, 374, 869, 207, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,374,869,207,920

Given numbers are 440,374,869,207,920

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

The LCM of 440,374,869,207,920 is 122320440.

Find LCM of 440,374,869,207,920 with Prime Factorization


2 440, 374, 869, 207, 920
2 220, 187, 869, 207, 460
2 110, 187, 869, 207, 230
5 55, 187, 869, 207, 115
11 11, 187, 869, 207, 23
23 1, 17, 79, 207, 23
1, 17, 79, 9, 1

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

2 x 2 x 2 x 5 x 11 x 23 x 1 x 17 x 79 x 9 x 1 = 122320440

Therefore, the lowest common multiple of 440,374,869,207,920 is 122320440.

LCM Formula to Find Lowest Common Multiple of 440,374,869,207,920

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.

440 x 374 x 869 x 207 x 920 = 27233422761600

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

374 : 1, 2, 11, 17, 22, 34, 187, 374

869 : 1, 11, 79, 869

207 : 1, 3, 9, 23, 69, 207

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,374,869,207,920, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

374:2x 11x 17

869:11x 79

207:3x 3x 23

920:2x 2x 2x 5x 23

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 5x 11x 11x 23 = 222640

Therefore, the value for common factors is 222640.

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 = 27233422761600/(1x222640)

LCM = 27233422761600/222640

LCM = 122320440

Thus, we can understand that the LCM of 440,374,869,207,920 is 122320440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 374, 869, 207, 920

1. What is the LCM of 440, 374, 869, 207, 920?

Answer: LCM of 440, 374, 869, 207, 920 is 122320440.

2. How to calculate the LCM of 440, 374, 869, 207, 920?

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 440, 374, 869, 207, 920.

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}.