Find the LCM of 387, 889, 564, 414 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 387, 889, 564, 414. So, keep reading to learn more.
Given numbers are 387,889,564,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,889,564,414 is 1487641932.
Find LCM of 387,889,564,414 with Prime Factorization
2 | 387, 889, 564, 414 |
3 | 387, 889, 282, 207 |
3 | 129, 889, 94, 69 |
43, 889, 94, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 43 x 889 x 94 x 23 = 1487641932
Therefore, the lowest common multiple of 387,889,564,414 is 1487641932.
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.
387 x 889 x 564 x 414 = 80332664328
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.
387 : 1, 3, 9, 43, 129, 387
889 : 1, 7, 127, 889
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,889,564,414, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
889:7x 127
564:2x 2x 3x 47
414:2x 3x 3x 23
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 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 80332664328/(1x54)
LCM = 80332664328/54
LCM = 1487641932
Thus, we can understand that the LCM of 387,889,564,414 is 1487641932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 387, 889, 564, 414?
Answer: LCM of 387, 889, 564, 414 is 1487641932.
2. How to calculate the LCM of 387, 889, 564, 414?
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 387, 889, 564, 414.
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}.