LCM of 906, 784, 809, 142, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 784, 809, 142, 284 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 906, 784, 809, 142, 284. So, keep reading to learn more.
Given numbers are 906,784,809,142,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,784,809,142,284 is 20399575728.
Find LCM of 906,784,809,142,284 with Prime Factorization
| 2 | 906, 784, 809, 142, 284 |
| 2 | 453, 392, 809, 71, 142 |
| 71 | 453, 196, 809, 71, 71 |
| 453, 196, 809, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 453 x 196 x 809 x 1 x 1 = 20399575728
Therefore, the lowest common multiple of 906,784,809,142,284 is 20399575728.
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.
906 x 784 x 809 x 142 x 284 = 23173918027008
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
809 : 1, 809
142 : 1, 2, 71, 142
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,784,809,142,284, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
784:2x 2x 2x 2x 7x 7
809:809
142:2x 71
284:2x 2x 71
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 71 = 1136
Therefore, the value for common factors is 1136.
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 = 23173918027008/(1x1136)
LCM = 23173918027008/1136
LCM = 20399575728
Thus, we can understand that the LCM of 906,784,809,142,284 is 20399575728.
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FAQs on LCM of 906, 784, 809, 142, 284
1. What is the LCM of 906, 784, 809, 142, 284?
Answer: LCM of 906, 784, 809, 142, 284 is 20399575728.
2. How to calculate the LCM of 906, 784, 809, 142, 284?
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 906, 784, 809, 142, 284.
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}.