Find the LCM of 432, 870, 970, 334, 232 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 432, 870, 970, 334, 232. So, keep reading to learn more.
Given numbers are 432,870,970,334,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,870,970,334,232 is 1014705360.
Find LCM of 432,870,970,334,232 with Prime Factorization
2 | 432, 870, 970, 334, 232 |
2 | 216, 435, 485, 167, 116 |
2 | 108, 435, 485, 167, 58 |
3 | 54, 435, 485, 167, 29 |
5 | 18, 145, 485, 167, 29 |
29 | 18, 29, 97, 167, 29 |
18, 1, 97, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 29 x 18 x 1 x 97 x 167 x 1 = 1014705360
Therefore, the lowest common multiple of 432,870,970,334,232 is 1014705360.
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.
432 x 870 x 970 x 334 x 232 = 28249397222400
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
970 : 1, 2, 5, 10, 97, 194, 485, 970
334 : 1, 2, 167, 334
232 : 1, 2, 4, 8, 29, 58, 116, 232
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,870,970,334,232, is 2.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
870:2x 3x 5x 29
970:2x 5x 97
334:2x 167
232:2x 2x 2x 29
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 2x 3x 5x 29 = 13920
Therefore, the value for common factors is 13920.
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 = 28249397222400/(2x13920)
LCM = 28249397222400/27840
LCM = 1014705360
Thus, we can understand that the LCM of 432,870,970,334,232 is 1014705360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 432, 870, 970, 334, 232?
Answer: LCM of 432, 870, 970, 334, 232 is 1014705360.
2. How to calculate the LCM of 432, 870, 970, 334, 232?
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 432, 870, 970, 334, 232.
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}.