LCM of 629, 150, 160, 494, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 150, 160, 494, 786 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 629, 150, 160, 494, 786. So, keep reading to learn more.
Given numbers are 629,150,160,494,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,150,160,494,786 is 48846127200.
Find LCM of 629,150,160,494,786 with Prime Factorization
| 2 | 629, 150, 160, 494, 786 |
| 3 | 629, 75, 80, 247, 393 |
| 5 | 629, 25, 80, 247, 131 |
| 629, 5, 16, 247, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 629 x 5 x 16 x 247 x 131 = 48846127200
Therefore, the lowest common multiple of 629,150,160,494,786 is 48846127200.
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.
629 x 150 x 160 x 494 x 786 = 5861535264000
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.
629 : 1, 17, 37, 629
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
494 : 1, 2, 13, 19, 26, 38, 247, 494
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,150,160,494,786, is 1.
Now, the common factors can be found like this.
629:17x 37
150:2x 3x 5x 5
160:2x 2x 2x 2x 2x 5
494:2x 13x 19
786:2x 3x 131
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 5 = 120
Therefore, the value for common factors is 120.
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 = 5861535264000/(1x120)
LCM = 5861535264000/120
LCM = 48846127200
Thus, we can understand that the LCM of 629,150,160,494,786 is 48846127200.
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FAQs on LCM of 629, 150, 160, 494, 786
1. What is the LCM of 629, 150, 160, 494, 786?
Answer: LCM of 629, 150, 160, 494, 786 is 48846127200.
2. How to calculate the LCM of 629, 150, 160, 494, 786?
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 629, 150, 160, 494, 786.
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}.