LCM of 590, 560, 442, 975, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 560, 442, 975, 952 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 590, 560, 442, 975, 952. So, keep reading to learn more.
Given numbers are 590,560,442,975,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,560,442,975,952 is 109527600.
Find LCM of 590,560,442,975,952 with Prime Factorization
| 2 | 590, 560, 442, 975, 952 |
| 2 | 295, 280, 221, 975, 476 |
| 2 | 295, 140, 221, 975, 238 |
| 5 | 295, 70, 221, 975, 119 |
| 7 | 59, 14, 221, 195, 119 |
| 13 | 59, 2, 221, 195, 17 |
| 17 | 59, 2, 17, 15, 17 |
| 59, 2, 1, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 13 x 17 x 59 x 2 x 1 x 15 x 1 = 109527600
Therefore, the lowest common multiple of 590,560,442,975,952 is 109527600.
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.
590 x 560 x 442 x 975 x 952 = 135551357760000
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
442 : 1, 2, 13, 17, 26, 34, 221, 442
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,560,442,975,952, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
560:2x 2x 2x 2x 5x 7
442:2x 13x 17
975:3x 5x 5x 13
952:2x 2x 2x 7x 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 2x 5x 5x 7x 13x 17 = 1237600
Therefore, the value for common factors is 1237600.
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 = 135551357760000/(1x1237600)
LCM = 135551357760000/1237600
LCM = 109527600
Thus, we can understand that the LCM of 590,560,442,975,952 is 109527600.
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FAQs on LCM of 590, 560, 442, 975, 952
1. What is the LCM of 590, 560, 442, 975, 952?
Answer: LCM of 590, 560, 442, 975, 952 is 109527600.
2. How to calculate the LCM of 590, 560, 442, 975, 952?
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 590, 560, 442, 975, 952.
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}.