LCM of 629, 111, 972, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 111, 972, 331 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, 111, 972, 331. So, keep reading to learn more.
Given numbers are 629,111,972,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,111,972,331 is 202369428.
Find LCM of 629,111,972,331 with Prime Factorization
| 3 | 629, 111, 972, 331 |
| 37 | 629, 37, 324, 331 |
| 17, 1, 324, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 37 x 17 x 1 x 324 x 331 = 202369428
Therefore, the lowest common multiple of 629,111,972,331 is 202369428.
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 111 x 972 x 331 = 22463006508
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
111 : 1, 3, 37, 111
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,111,972,331, is 1.
Now, the common factors can be found like this.
629:17x 37
111:3x 37
972:2x 2x 3x 3x 3x 3x 3
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 37 = 111
Therefore, the value for common factors is 111.
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 = 22463006508/(1x111)
LCM = 22463006508/111
LCM = 202369428
Thus, we can understand that the LCM of 629,111,972,331 is 202369428.
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FAQs on LCM of 629, 111, 972, 331
1. What is the LCM of 629, 111, 972, 331?
Answer: LCM of 629, 111, 972, 331 is 202369428.
2. How to calculate the LCM of 629, 111, 972, 331?
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, 111, 972, 331.
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}.