LCM of 702, 564, 323, 585, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 564, 323, 585, 282 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 702, 564, 323, 585, 282. So, keep reading to learn more.
Given numbers are 702,564,323,585,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,564,323,585,282 is 106570620.
Find LCM of 702,564,323,585,282 with Prime Factorization
| 2 | 702, 564, 323, 585, 282 |
| 3 | 351, 282, 323, 585, 141 |
| 3 | 117, 94, 323, 195, 47 |
| 13 | 39, 94, 323, 65, 47 |
| 47 | 3, 94, 323, 5, 47 |
| 3, 2, 323, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 47 x 3 x 2 x 323 x 5 x 1 = 106570620
Therefore, the lowest common multiple of 702,564,323,585,282 is 106570620.
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.
702 x 564 x 323 x 585 x 282 = 21097146217680
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
323 : 1, 17, 19, 323
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,564,323,585,282, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
564:2x 2x 3x 47
323:17x 19
585:3x 3x 5x 13
282:2x 3x 47
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 3x 3x 13x 47 = 197964
Therefore, the value for common factors is 197964.
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 = 21097146217680/(1x197964)
LCM = 21097146217680/197964
LCM = 106570620
Thus, we can understand that the LCM of 702,564,323,585,282 is 106570620.
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FAQs on LCM of 702, 564, 323, 585, 282
1. What is the LCM of 702, 564, 323, 585, 282?
Answer: LCM of 702, 564, 323, 585, 282 is 106570620.
2. How to calculate the LCM of 702, 564, 323, 585, 282?
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 702, 564, 323, 585, 282.
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}.