LCM of 808, 778, 664, 372, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 778, 664, 372, 110 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 808, 778, 664, 372, 110. So, keep reading to learn more.
Given numbers are 808,778,664,372,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,778,664,372,110 is 133439588040.
Find LCM of 808,778,664,372,110 with Prime Factorization
| 2 | 808, 778, 664, 372, 110 |
| 2 | 404, 389, 332, 186, 55 |
| 2 | 202, 389, 166, 93, 55 |
| 101, 389, 83, 93, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 389 x 83 x 93 x 55 = 133439588040
Therefore, the lowest common multiple of 808,778,664,372,110 is 133439588040.
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.
808 x 778 x 664 x 372 x 110 = 17080267269120
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
778 : 1, 2, 389, 778
664 : 1, 2, 4, 8, 83, 166, 332, 664
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
110 : 1, 2, 5, 10, 11, 22, 55, 110
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,778,664,372,110, is 2.
Now, the common factors can be found like this.
808:2x 2x 2x 101
778:2x 389
664:2x 2x 2x 83
372:2x 2x 3x 31
110:2x 5x 11
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 17080267269120/(2x64)
LCM = 17080267269120/128
LCM = 133439588040
Thus, we can understand that the LCM of 808,778,664,372,110 is 133439588040.
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FAQs on LCM of 808, 778, 664, 372, 110
1. What is the LCM of 808, 778, 664, 372, 110?
Answer: LCM of 808, 778, 664, 372, 110 is 133439588040.
2. How to calculate the LCM of 808, 778, 664, 372, 110?
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 808, 778, 664, 372, 110.
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}.