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LCM of 922, 620, 440, 316, 585

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


Find the LCM of 922, 620, 440, 316, 585 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 922, 620, 440, 316, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,620,440,316,585

Given numbers are 922,620,440,316,585

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

The LCM of 922,620,440,316,585 is 58120353720.

Find LCM of 922,620,440,316,585 with Prime Factorization


2 922, 620, 440, 316, 585
2 461, 310, 220, 158, 585
5 461, 155, 110, 79, 585
461, 31, 22, 79, 117

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

2 x 2 x 5 x 461 x 31 x 22 x 79 x 117 = 58120353720

Therefore, the lowest common multiple of 922,620,440,316,585 is 58120353720.

LCM Formula to Find Lowest Common Multiple of 922,620,440,316,585

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.

922 x 620 x 440 x 316 x 585 = 46496282976000

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.

922 : 1, 2, 461, 922

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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

316 : 1, 2, 4, 79, 158, 316

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,620,440,316,585, is 1.

Now, the common factors can be found like this.

922:2x 461

620:2x 2x 5x 31

440:2x 2x 2x 5x 11

316:2x 2x 79

585:3x 3x 5x 13

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 46496282976000/(1x800)

LCM = 46496282976000/800

LCM = 58120353720

Thus, we can understand that the LCM of 922,620,440,316,585 is 58120353720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 620, 440, 316, 585

1. What is the LCM of 922, 620, 440, 316, 585?

Answer: LCM of 922, 620, 440, 316, 585 is 58120353720.

2. How to calculate the LCM of 922, 620, 440, 316, 585?

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 922, 620, 440, 316, 585.

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}.