LCM of 282, 564, 796, 796, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 564, 796, 796, 165 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 282, 564, 796, 796, 165. So, keep reading to learn more.
Given numbers are 282,564,796,796,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,564,796,796,165 is 6172980.
Find LCM of 282,564,796,796,165 with Prime Factorization
| 2 | 282, 564, 796, 796, 165 |
| 2 | 141, 282, 398, 398, 165 |
| 3 | 141, 141, 199, 199, 165 |
| 47 | 47, 47, 199, 199, 55 |
| 199 | 1, 1, 199, 199, 55 |
| 1, 1, 1, 1, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 199 x 1 x 1 x 1 x 1 x 55 = 6172980
Therefore, the lowest common multiple of 282,564,796,796,165 is 6172980.
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.
282 x 564 x 796 x 796 x 165 = 16627933998720
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
796 : 1, 2, 4, 199, 398, 796
796 : 1, 2, 4, 199, 398, 796
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,564,796,796,165, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
564:2x 2x 3x 47
796:2x 2x 199
796:2x 2x 199
165:3x 5x 11
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 3x 3x 47x 199 = 2693664
Therefore, the value for common factors is 2693664.
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 = 16627933998720/(1x2693664)
LCM = 16627933998720/2693664
LCM = 6172980
Thus, we can understand that the LCM of 282,564,796,796,165 is 6172980.
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FAQs on LCM of 282, 564, 796, 796, 165
1. What is the LCM of 282, 564, 796, 796, 165?
Answer: LCM of 282, 564, 796, 796, 165 is 6172980.
2. How to calculate the LCM of 282, 564, 796, 796, 165?
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 282, 564, 796, 796, 165.
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}.