LCM of 882, 717, 147, 784, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 717, 147, 784, 969 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, 717, 147, 784, 969. So, keep reading to learn more.
Given numbers are 882,717,147,784,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,717,147,784,969 is 544702032.
Find LCM of 882,717,147,784,969 with Prime Factorization
| 2 | 882, 717, 147, 784, 969 |
| 3 | 441, 717, 147, 392, 969 |
| 7 | 49, 239, 147, 392, 323 |
| 7 | 7, 239, 21, 56, 323 |
| 1, 239, 3, 8, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 1 x 239 x 3 x 8 x 323 = 544702032
Therefore, the lowest common multiple of 882,717,147,784,969 is 544702032.
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 717 x 147 x 784 x 969 = 70622797256928
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
717 : 1, 3, 239, 717
147 : 1, 3, 7, 21, 49, 147
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,717,147,784,969, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
717:3x 239
147:3x 7x 7
784:2x 2x 2x 2x 7x 7
969:3x 17x 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 3x 3x 3x 7x 7x 7x 7 = 129654
Therefore, the value for common factors is 129654.
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 = 70622797256928/(1x129654)
LCM = 70622797256928/129654
LCM = 544702032
Thus, we can understand that the LCM of 882,717,147,784,969 is 544702032.
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FAQs on LCM of 882, 717, 147, 784, 969
1. What is the LCM of 882, 717, 147, 784, 969?
Answer: LCM of 882, 717, 147, 784, 969 is 544702032.
2. How to calculate the LCM of 882, 717, 147, 784, 969?
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, 717, 147, 784, 969.
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}.