Find the LCM of 187, 678, 381, 669, 435 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 187, 678, 381, 669, 435. So, keep reading to learn more.
Given numbers are 187,678,381,669,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,678,381,669,435 is 520652414370.
Find LCM of 187,678,381,669,435 with Prime Factorization
3 | 187, 678, 381, 669, 435 |
187, 226, 127, 223, 145 |
Multiply the prime numbers at the bottom and the left side.
3 x 187 x 226 x 127 x 223 x 145 = 520652414370
Therefore, the lowest common multiple of 187,678,381,669,435 is 520652414370.
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.
187 x 678 x 381 x 669 x 435 = 14057615187990
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.
187 : 1, 11, 17, 187
678 : 1, 2, 3, 6, 113, 226, 339, 678
381 : 1, 3, 127, 381
669 : 1, 3, 223, 669
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,678,381,669,435, is 1.
Now, the common factors can be found like this.
187:11x 17
678:2x 3x 113
381:3x 127
669:3x 223
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 14057615187990/(1x27)
LCM = 14057615187990/27
LCM = 520652414370
Thus, we can understand that the LCM of 187,678,381,669,435 is 520652414370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 187, 678, 381, 669, 435?
Answer: LCM of 187, 678, 381, 669, 435 is 520652414370.
2. How to calculate the LCM of 187, 678, 381, 669, 435?
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 187, 678, 381, 669, 435.
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}.