LCM of 882, 433, 506, 417, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 433, 506, 417, 612 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 882, 433, 506, 417, 612. So, keep reading to learn more.
Given numbers are 882,433,506,417,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,433,506,417,612 is 456636602268.
Find LCM of 882,433,506,417,612 with Prime Factorization
| 2 | 882, 433, 506, 417, 612 |
| 3 | 441, 433, 253, 417, 306 |
| 3 | 147, 433, 253, 139, 102 |
| 49, 433, 253, 139, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 49 x 433 x 253 x 139 x 34 = 456636602268
Therefore, the lowest common multiple of 882,433,506,417,612 is 456636602268.
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.
882 x 433 x 506 x 417 x 612 = 49316753044944
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
433 : 1, 433
506 : 1, 2, 11, 22, 23, 46, 253, 506
417 : 1, 3, 139, 417
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,433,506,417,612, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
433:433
506:2x 11x 23
417:3x 139
612:2x 2x 3x 3x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 49316753044944/(1x108)
LCM = 49316753044944/108
LCM = 456636602268
Thus, we can understand that the LCM of 882,433,506,417,612 is 456636602268.
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FAQs on LCM of 882, 433, 506, 417, 612
1. What is the LCM of 882, 433, 506, 417, 612?
Answer: LCM of 882, 433, 506, 417, 612 is 456636602268.
2. How to calculate the LCM of 882, 433, 506, 417, 612?
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 882, 433, 506, 417, 612.
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}.