LCM of 634, 108, 409, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 108, 409, 768 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 634, 108, 409, 768. So, keep reading to learn more.
Given numbers are 634,108,409,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,108,409,768 is 896161536.
Find LCM of 634,108,409,768 with Prime Factorization
| 2 | 634, 108, 409, 768 |
| 2 | 317, 54, 409, 384 |
| 3 | 317, 27, 409, 192 |
| 317, 9, 409, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 317 x 9 x 409 x 64 = 896161536
Therefore, the lowest common multiple of 634,108,409,768 is 896161536.
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.
634 x 108 x 409 x 768 = 21507876864
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.
634 : 1, 2, 317, 634
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
409 : 1, 409
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,108,409,768, is 1.
Now, the common factors can be found like this.
634:2x 317
108:2x 2x 3x 3x 3
409:409
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3 = 24
Therefore, the value for common factors is 24.
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 = 21507876864/(1x24)
LCM = 21507876864/24
LCM = 896161536
Thus, we can understand that the LCM of 634,108,409,768 is 896161536.
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FAQs on LCM of 634, 108, 409, 768
1. What is the LCM of 634, 108, 409, 768?
Answer: LCM of 634, 108, 409, 768 is 896161536.
2. How to calculate the LCM of 634, 108, 409, 768?
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 634, 108, 409, 768.
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}.