LCM of 572, 813, 404, 975, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 813, 404, 975, 813 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, 813, 404, 975, 813. So, keep reading to learn more.
Given numbers are 572,813,404,975,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,813,404,975,813 is 1174215900.
Find LCM of 572,813,404,975,813 with Prime Factorization
| 2 | 572, 813, 404, 975, 813 |
| 2 | 286, 813, 202, 975, 813 |
| 3 | 143, 813, 101, 975, 813 |
| 13 | 143, 271, 101, 325, 271 |
| 271 | 11, 271, 101, 25, 271 |
| 11, 1, 101, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 271 x 11 x 1 x 101 x 25 x 1 = 1174215900
Therefore, the lowest common multiple of 572,813,404,975,813 is 1174215900.
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 813 x 404 x 975 x 813 = 148923454165200
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
813 : 1, 3, 271, 813
404 : 1, 2, 4, 101, 202, 404
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,813,404,975,813, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
813:3x 271
404:2x 2x 101
975:3x 5x 5x 13
813:3x 271
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 3x 3x 13x 271 = 126828
Therefore, the value for common factors is 126828.
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 = 148923454165200/(1x126828)
LCM = 148923454165200/126828
LCM = 1174215900
Thus, we can understand that the LCM of 572,813,404,975,813 is 1174215900.
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FAQs on LCM of 572, 813, 404, 975, 813
1. What is the LCM of 572, 813, 404, 975, 813?
Answer: LCM of 572, 813, 404, 975, 813 is 1174215900.
2. How to calculate the LCM of 572, 813, 404, 975, 813?
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, 813, 404, 975, 813.
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}.