LCM of 446, 792, 649, 107, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 792, 649, 107, 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 446, 792, 649, 107, 768. So, keep reading to learn more.
Given numbers are 446,792,649,107,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,792,649,107,768 is 35679257856.
Find LCM of 446,792,649,107,768 with Prime Factorization
| 2 | 446, 792, 649, 107, 768 |
| 2 | 223, 396, 649, 107, 384 |
| 2 | 223, 198, 649, 107, 192 |
| 3 | 223, 99, 649, 107, 96 |
| 11 | 223, 33, 649, 107, 32 |
| 223, 3, 59, 107, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 223 x 3 x 59 x 107 x 32 = 35679257856
Therefore, the lowest common multiple of 446,792,649,107,768 is 35679257856.
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.
446 x 792 x 649 x 107 x 768 = 18838648147968
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.
446 : 1, 2, 223, 446
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
649 : 1, 11, 59, 649
107 : 1, 107
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 446,792,649,107,768, is 1.
Now, the common factors can be found like this.
446:2x 223
792:2x 2x 2x 3x 3x 11
649:11x 59
107:107
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 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 18838648147968/(1x528)
LCM = 18838648147968/528
LCM = 35679257856
Thus, we can understand that the LCM of 446,792,649,107,768 is 35679257856.
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FAQs on LCM of 446, 792, 649, 107, 768
1. What is the LCM of 446, 792, 649, 107, 768?
Answer: LCM of 446, 792, 649, 107, 768 is 35679257856.
2. How to calculate the LCM of 446, 792, 649, 107, 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 446, 792, 649, 107, 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}.