Find the LCM of 629, 792, 980, 374, 297 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, 792, 980, 374, 297. So, keep reading to learn more.
Given numbers are 629,792,980,374,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,792,980,374,297 is 366153480.
Find LCM of 629,792,980,374,297 with Prime Factorization
2 | 629, 792, 980, 374, 297 |
2 | 629, 396, 490, 187, 297 |
3 | 629, 198, 245, 187, 297 |
3 | 629, 66, 245, 187, 99 |
11 | 629, 22, 245, 187, 33 |
17 | 629, 2, 245, 17, 3 |
37, 2, 245, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 37 x 2 x 245 x 1 x 3 = 366153480
Therefore, the lowest common multiple of 629,792,980,374,297 is 366153480.
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 792 x 980 x 374 x 297 = 54228795001920
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
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
374 : 1, 2, 11, 17, 22, 34, 187, 374
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,792,980,374,297, is 1.
Now, the common factors can be found like this.
629:17x 37
792:2x 2x 2x 3x 3x 11
980:2x 2x 5x 7x 7
374:2x 11x 17
297:3x 3x 3x 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 3x 3x 11x 11x 17 = 148104
Therefore, the value for common factors is 148104.
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 = 54228795001920/(1x148104)
LCM = 54228795001920/148104
LCM = 366153480
Thus, we can understand that the LCM of 629,792,980,374,297 is 366153480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 629, 792, 980, 374, 297?
Answer: LCM of 629, 792, 980, 374, 297 is 366153480.
2. How to calculate the LCM of 629, 792, 980, 374, 297?
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, 792, 980, 374, 297.
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}.