LCM of 355, 782, 718, 825, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 782, 718, 825, 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 355, 782, 718, 825, 952. So, keep reading to learn more.
Given numbers are 355,782,718,825,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,782,718,825,952 is 460438393800.
Find LCM of 355,782,718,825,952 with Prime Factorization
| 2 | 355, 782, 718, 825, 952 |
| 5 | 355, 391, 359, 825, 476 |
| 17 | 71, 391, 359, 165, 476 |
| 71, 23, 359, 165, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 71 x 23 x 359 x 165 x 28 = 460438393800
Therefore, the lowest common multiple of 355,782,718,825,952 is 460438393800.
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.
355 x 782 x 718 x 825 x 952 = 156549053892000
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.
355 : 1, 5, 71, 355
782 : 1, 2, 17, 23, 34, 46, 391, 782
718 : 1, 2, 359, 718
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 355,782,718,825,952, is 1.
Now, the common factors can be found like this.
355:5x 71
782:2x 17x 23
718:2x 359
825:3x 5x 5x 11
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 156549053892000/(1x340)
LCM = 156549053892000/340
LCM = 460438393800
Thus, we can understand that the LCM of 355,782,718,825,952 is 460438393800.
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FAQs on LCM of 355, 782, 718, 825, 952
1. What is the LCM of 355, 782, 718, 825, 952?
Answer: LCM of 355, 782, 718, 825, 952 is 460438393800.
2. How to calculate the LCM of 355, 782, 718, 825, 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 355, 782, 718, 825, 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}.