Find the LCM of 541, 240, 563, 493, 870 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 541, 240, 563, 493, 870. So, keep reading to learn more.
Given numbers are 541,240,563,493,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,240,563,493,870 is 36038260560.
Find LCM of 541,240,563,493,870 with Prime Factorization
2 | 541, 240, 563, 493, 870 |
3 | 541, 120, 563, 493, 435 |
5 | 541, 40, 563, 493, 145 |
29 | 541, 8, 563, 493, 29 |
541, 8, 563, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 541 x 8 x 563 x 17 x 1 = 36038260560
Therefore, the lowest common multiple of 541,240,563,493,870 is 36038260560.
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.
541 x 240 x 563 x 493 x 870 = 31353286687200
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.
541 : 1, 541
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
563 : 1, 563
493 : 1, 17, 29, 493
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,240,563,493,870, is 1.
Now, the common factors can be found like this.
541:541
240:2x 2x 2x 2x 3x 5
563:563
493:17x 29
870:2x 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.
2x 3x 5x 29 = 870
Therefore, the value for common factors is 870.
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 = 31353286687200/(1x870)
LCM = 31353286687200/870
LCM = 36038260560
Thus, we can understand that the LCM of 541,240,563,493,870 is 36038260560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 541, 240, 563, 493, 870?
Answer: LCM of 541, 240, 563, 493, 870 is 36038260560.
2. How to calculate the LCM of 541, 240, 563, 493, 870?
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 541, 240, 563, 493, 870.
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}.