Find the LCM of 213, 781, 356, 281, 815 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 213, 781, 356, 281, 815. So, keep reading to learn more.
Given numbers are 213,781,356,281,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,781,356,281,815 is 191023243620.
Find LCM of 213,781,356,281,815 with Prime Factorization
71 | 213, 781, 356, 281, 815 |
3, 11, 356, 281, 815 |
Multiply the prime numbers at the bottom and the left side.
71 x 3 x 11 x 356 x 281 x 815 = 191023243620
Therefore, the lowest common multiple of 213,781,356,281,815 is 191023243620.
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.
213 x 781 x 356 x 281 x 815 = 13562650297020
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.
213 : 1, 3, 71, 213
781 : 1, 11, 71, 781
356 : 1, 2, 4, 89, 178, 356
281 : 1, 281
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,781,356,281,815, is 1.
Now, the common factors can be found like this.
213:3x 71
781:11x 71
356:2x 2x 89
281:281
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
71 = 71
Therefore, the value for common factors is 71.
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 = 13562650297020/(1x71)
LCM = 13562650297020/71
LCM = 191023243620
Thus, we can understand that the LCM of 213,781,356,281,815 is 191023243620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 213, 781, 356, 281, 815?
Answer: LCM of 213, 781, 356, 281, 815 is 191023243620.
2. How to calculate the LCM of 213, 781, 356, 281, 815?
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 213, 781, 356, 281, 815.
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}.