Find the LCM of 620, 440, 513, 909, 693 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 620, 440, 513, 909, 693. So, keep reading to learn more.
Given numbers are 620,440,513,909,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,440,513,909,693 is 4947105240.
Find LCM of 620,440,513,909,693 with Prime Factorization
2 | 620, 440, 513, 909, 693 |
2 | 310, 220, 513, 909, 693 |
3 | 155, 110, 513, 909, 693 |
3 | 155, 110, 171, 303, 231 |
5 | 155, 110, 57, 101, 77 |
11 | 31, 22, 57, 101, 77 |
31, 2, 57, 101, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 31 x 2 x 57 x 101 x 7 = 4947105240
Therefore, the lowest common multiple of 620,440,513,909,693 is 4947105240.
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.
620 x 440 x 513 x 909 x 693 = 88157415376800
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
513 : 1, 3, 9, 19, 27, 57, 171, 513
909 : 1, 3, 9, 101, 303, 909
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,440,513,909,693, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
440:2x 2x 2x 5x 11
513:3x 3x 3x 19
909:3x 3x 101
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 5x 11 = 17820
Therefore, the value for common factors is 17820.
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 = 88157415376800/(1x17820)
LCM = 88157415376800/17820
LCM = 4947105240
Thus, we can understand that the LCM of 620,440,513,909,693 is 4947105240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 440, 513, 909, 693?
Answer: LCM of 620, 440, 513, 909, 693 is 4947105240.
2. How to calculate the LCM of 620, 440, 513, 909, 693?
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 620, 440, 513, 909, 693.
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}.