Find the LCM of 507, 778, 351, 318, 424 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, 778, 351, 318, 424. So, keep reading to learn more.
Given numbers are 507,778,351,318,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,778,351,318,424 is 752602968.
Find LCM of 507,778,351,318,424 with Prime Factorization
2 | 507, 778, 351, 318, 424 |
3 | 507, 389, 351, 159, 212 |
13 | 169, 389, 117, 53, 212 |
53 | 13, 389, 9, 53, 212 |
13, 389, 9, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 13 x 389 x 9 x 1 x 4 = 752602968
Therefore, the lowest common multiple of 507,778,351,318,424 is 752602968.
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 778 x 351 x 318 x 424 = 18667564018272
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
778 : 1, 2, 389, 778
351 : 1, 3, 9, 13, 27, 39, 117, 351
318 : 1, 2, 3, 6, 53, 106, 159, 318
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,778,351,318,424, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
778:2x 389
351:3x 3x 3x 13
318:2x 3x 53
424:2x 2x 2x 53
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 13x 53 = 24804
Therefore, the value for common factors is 24804.
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 = 18667564018272/(1x24804)
LCM = 18667564018272/24804
LCM = 752602968
Thus, we can understand that the LCM of 507,778,351,318,424 is 752602968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 778, 351, 318, 424?
Answer: LCM of 507, 778, 351, 318, 424 is 752602968.
2. How to calculate the LCM of 507, 778, 351, 318, 424?
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, 778, 351, 318, 424.
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}.