LCM of 367, 792, 677, 858, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 792, 677, 858, 910 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 367, 792, 677, 858, 910. So, keep reading to learn more.
Given numbers are 367,792,677,858,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,792,677,858,910 is 89534685240.
Find LCM of 367,792,677,858,910 with Prime Factorization
| 2 | 367, 792, 677, 858, 910 |
| 3 | 367, 396, 677, 429, 455 |
| 11 | 367, 132, 677, 143, 455 |
| 13 | 367, 12, 677, 13, 455 |
| 367, 12, 677, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 367 x 12 x 677 x 1 x 35 = 89534685240
Therefore, the lowest common multiple of 367,792,677,858,910 is 89534685240.
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.
367 x 792 x 677 x 858 x 910 = 153641519871840
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.
367 : 1, 367
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
677 : 1, 677
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,792,677,858,910, is 1.
Now, the common factors can be found like this.
367:367
792:2x 2x 2x 3x 3x 11
677:677
858:2x 3x 11x 13
910:2x 5x 7x 13
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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 153641519871840/(1x1716)
LCM = 153641519871840/1716
LCM = 89534685240
Thus, we can understand that the LCM of 367,792,677,858,910 is 89534685240.
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FAQs on LCM of 367, 792, 677, 858, 910
1. What is the LCM of 367, 792, 677, 858, 910?
Answer: LCM of 367, 792, 677, 858, 910 is 89534685240.
2. How to calculate the LCM of 367, 792, 677, 858, 910?
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 367, 792, 677, 858, 910.
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}.