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LCM of 901, 783, 352, 720, 922

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


Find the LCM of 901, 783, 352, 720, 922 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, 783, 352, 720, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,783,352,720,922

Given numbers are 901,783,352,720,922

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

The LCM of 901,783,352,720,922 is 572400686880.

Find LCM of 901,783,352,720,922 with Prime Factorization


2 901, 783, 352, 720, 922
2 901, 783, 176, 360, 461
2 901, 783, 88, 180, 461
2 901, 783, 44, 90, 461
3 901, 783, 22, 45, 461
3 901, 261, 22, 15, 461
901, 87, 22, 5, 461

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

2 x 2 x 2 x 2 x 3 x 3 x 901 x 87 x 22 x 5 x 461 = 572400686880

Therefore, the lowest common multiple of 901,783,352,720,922 is 572400686880.

LCM Formula to Find Lowest Common Multiple of 901,783,352,720,922

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 783 x 352 x 720 x 922 = 164851397821440

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

783 : 1, 3, 9, 27, 29, 87, 261, 783

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,783,352,720,922, is 1.

Now, the common factors can be found like this.

901:17x 53

783:3x 3x 3x 29

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

720:2x 2x 2x 2x 3x 3x 5

922:2x 461

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 164851397821440/(1x288)

LCM = 164851397821440/288

LCM = 572400686880

Thus, we can understand that the LCM of 901,783,352,720,922 is 572400686880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 783, 352, 720, 922

1. What is the LCM of 901, 783, 352, 720, 922?

Answer: LCM of 901, 783, 352, 720, 922 is 572400686880.

2. How to calculate the LCM of 901, 783, 352, 720, 922?

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, 783, 352, 720, 922.

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}.