Find the LCM of 507, 789, 865, 577, 506 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 507, 789, 865, 577, 506. So, keep reading to learn more.
Given numbers are 507,789,865,577,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,789,865,577,506 is 33674886861330.
Find LCM of 507,789,865,577,506 with Prime Factorization
3 | 507, 789, 865, 577, 506 |
169, 263, 865, 577, 506 |
Multiply the prime numbers at the bottom and the left side.
3 x 169 x 263 x 865 x 577 x 506 = 33674886861330
Therefore, the lowest common multiple of 507,789,865,577,506 is 33674886861330.
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.
507 x 789 x 865 x 577 x 506 = 101024660583990
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.
507 : 1, 3, 13, 39, 169, 507
789 : 1, 3, 263, 789
865 : 1, 5, 173, 865
577 : 1, 577
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,789,865,577,506, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
789:3x 263
865:5x 173
577:577
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 101024660583990/(1x3)
LCM = 101024660583990/3
LCM = 33674886861330
Thus, we can understand that the LCM of 507,789,865,577,506 is 33674886861330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 789, 865, 577, 506?
Answer: LCM of 507, 789, 865, 577, 506 is 33674886861330.
2. How to calculate the LCM of 507, 789, 865, 577, 506?
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 507, 789, 865, 577, 506.
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}.