LCM of 366, 536, 694, 752, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 536, 694, 752, 570 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 366, 536, 694, 752, 570. So, keep reading to learn more.
Given numbers are 366,536,694,752,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,536,694,752,570 is 303946266480.
Find LCM of 366,536,694,752,570 with Prime Factorization
| 2 | 366, 536, 694, 752, 570 |
| 2 | 183, 268, 347, 376, 285 |
| 2 | 183, 134, 347, 188, 285 |
| 3 | 183, 67, 347, 94, 285 |
| 61, 67, 347, 94, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 61 x 67 x 347 x 94 x 95 = 303946266480
Therefore, the lowest common multiple of 366,536,694,752,570 is 303946266480.
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.
366 x 536 x 694 x 752 x 570 = 58357683164160
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
536 : 1, 2, 4, 8, 67, 134, 268, 536
694 : 1, 2, 347, 694
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,536,694,752,570, is 2.
Now, the common factors can be found like this.
366:2x 3x 61
536:2x 2x 2x 67
694:2x 347
752:2x 2x 2x 2x 47
570:2x 3x 5x 19
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 3 = 96
Therefore, the value for common factors is 96.
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 = 58357683164160/(2x96)
LCM = 58357683164160/192
LCM = 303946266480
Thus, we can understand that the LCM of 366,536,694,752,570 is 303946266480.
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FAQs on LCM of 366, 536, 694, 752, 570
1. What is the LCM of 366, 536, 694, 752, 570?
Answer: LCM of 366, 536, 694, 752, 570 is 303946266480.
2. How to calculate the LCM of 366, 536, 694, 752, 570?
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 366, 536, 694, 752, 570.
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}.