LCM of 817, 666, 214, 906, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 817, 666, 214, 906, 588 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 817, 666, 214, 906, 588. So, keep reading to learn more.
Given numbers are 817,666,214,906,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,666,214,906,588 is 861555157092.
Find LCM of 817,666,214,906,588 with Prime Factorization
| 2 | 817, 666, 214, 906, 588 |
| 3 | 817, 333, 107, 453, 294 |
| 817, 111, 107, 151, 98 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 817 x 111 x 107 x 151 x 98 = 861555157092
Therefore, the lowest common multiple of 817,666,214,906,588 is 861555157092.
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.
817 x 666 x 214 x 906 x 588 = 62031971310624
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.
817 : 1, 19, 43, 817
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
214 : 1, 2, 107, 214
906 : 1, 2, 3, 6, 151, 302, 453, 906
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,666,214,906,588, is 1.
Now, the common factors can be found like this.
817:19x 43
666:2x 3x 3x 37
214:2x 107
906:2x 3x 151
588:2x 2x 3x 7x 7
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 62031971310624/(1x72)
LCM = 62031971310624/72
LCM = 861555157092
Thus, we can understand that the LCM of 817,666,214,906,588 is 861555157092.
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FAQs on LCM of 817, 666, 214, 906, 588
1. What is the LCM of 817, 666, 214, 906, 588?
Answer: LCM of 817, 666, 214, 906, 588 is 861555157092.
2. How to calculate the LCM of 817, 666, 214, 906, 588?
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 817, 666, 214, 906, 588.
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}.