LCM of 572, 575, 120, 812, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 575, 120, 812, 935 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 572, 575, 120, 812, 935. So, keep reading to learn more.
Given numbers are 572,575,120,812,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,575,120,812,935 is 6810203400.
Find LCM of 572,575,120,812,935 with Prime Factorization
| 2 | 572, 575, 120, 812, 935 |
| 2 | 286, 575, 60, 406, 935 |
| 5 | 143, 575, 30, 203, 935 |
| 11 | 143, 115, 6, 203, 187 |
| 13, 115, 6, 203, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 115 x 6 x 203 x 17 = 6810203400
Therefore, the lowest common multiple of 572,575,120,812,935 is 6810203400.
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.
572 x 575 x 120 x 812 x 935 = 29964894960000
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
575 : 1, 5, 23, 25, 115, 575
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,575,120,812,935, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
575:5x 5x 23
120:2x 2x 2x 3x 5
812:2x 2x 7x 29
935:5x 11x 17
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 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 29964894960000/(1x4400)
LCM = 29964894960000/4400
LCM = 6810203400
Thus, we can understand that the LCM of 572,575,120,812,935 is 6810203400.
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FAQs on LCM of 572, 575, 120, 812, 935
1. What is the LCM of 572, 575, 120, 812, 935?
Answer: LCM of 572, 575, 120, 812, 935 is 6810203400.
2. How to calculate the LCM of 572, 575, 120, 812, 935?
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 572, 575, 120, 812, 935.
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}.