Find the LCM of 430, 132, 693, 631 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 430, 132, 693, 631. So, keep reading to learn more.
Given numbers are 430,132,693,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,132,693,631 is 376063380.
Find LCM of 430,132,693,631 with Prime Factorization
2 | 430, 132, 693, 631 |
3 | 215, 66, 693, 631 |
11 | 215, 22, 231, 631 |
215, 2, 21, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 215 x 2 x 21 x 631 = 376063380
Therefore, the lowest common multiple of 430,132,693,631 is 376063380.
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.
430 x 132 x 693 x 631 = 24820183080
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,132,693,631, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
132:2x 2x 3x 11
693:3x 3x 7x 11
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 24820183080/(1x66)
LCM = 24820183080/66
LCM = 376063380
Thus, we can understand that the LCM of 430,132,693,631 is 376063380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 430, 132, 693, 631?
Answer: LCM of 430, 132, 693, 631 is 376063380.
2. How to calculate the LCM of 430, 132, 693, 631?
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 430, 132, 693, 631.
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}.