Find the LCM of 100, 639, 541, 315, 413 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 100, 639, 541, 315, 413. So, keep reading to learn more.
Given numbers are 100,639,541,315,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,639,541,315,413 is 14277368700.
Find LCM of 100,639,541,315,413 with Prime Factorization
3 | 100, 639, 541, 315, 413 |
3 | 100, 213, 541, 105, 413 |
5 | 100, 71, 541, 35, 413 |
7 | 20, 71, 541, 7, 413 |
20, 71, 541, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 20 x 71 x 541 x 1 x 59 = 14277368700
Therefore, the lowest common multiple of 100,639,541,315,413 is 14277368700.
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.
100 x 639 x 541 x 315 x 413 = 4497371140500
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
639 : 1, 3, 9, 71, 213, 639
541 : 1, 541
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,639,541,315,413, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
639:3x 3x 71
541:541
315:3x 3x 5x 7
413:7x 59
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 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 4497371140500/(1x315)
LCM = 4497371140500/315
LCM = 14277368700
Thus, we can understand that the LCM of 100,639,541,315,413 is 14277368700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 100, 639, 541, 315, 413?
Answer: LCM of 100, 639, 541, 315, 413 is 14277368700.
2. How to calculate the LCM of 100, 639, 541, 315, 413?
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 100, 639, 541, 315, 413.
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}.