LCM of 578, 798, 866, 501, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 798, 866, 501, 906 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 578, 798, 866, 501, 906. So, keep reading to learn more.
Given numbers are 578,798,866,501,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,798,866,501,906 is 2518152623742.
Find LCM of 578,798,866,501,906 with Prime Factorization
| 2 | 578, 798, 866, 501, 906 |
| 3 | 289, 399, 433, 501, 453 |
| 289, 133, 433, 167, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 289 x 133 x 433 x 167 x 151 = 2518152623742
Therefore, the lowest common multiple of 578,798,866,501,906 is 2518152623742.
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.
578 x 798 x 866 x 501 x 906 = 181306988909424
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.
578 : 1, 2, 17, 34, 289, 578
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
866 : 1, 2, 433, 866
501 : 1, 3, 167, 501
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,798,866,501,906, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
798:2x 3x 7x 19
866:2x 433
501:3x 167
906:2x 3x 151
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 = 181306988909424/(1x72)
LCM = 181306988909424/72
LCM = 2518152623742
Thus, we can understand that the LCM of 578,798,866,501,906 is 2518152623742.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 798, 866, 501, 906
1. What is the LCM of 578, 798, 866, 501, 906?
Answer: LCM of 578, 798, 866, 501, 906 is 2518152623742.
2. How to calculate the LCM of 578, 798, 866, 501, 906?
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 578, 798, 866, 501, 906.
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}.