Find the LCM of 507, 398, 418, 924, 928 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, 398, 418, 924, 928. So, keep reading to learn more.
Given numbers are 507,398,418,924,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,398,418,924,928 is 136978793952.
Find LCM of 507,398,418,924,928 with Prime Factorization
2 | 507, 398, 418, 924, 928 |
2 | 507, 199, 209, 462, 464 |
3 | 507, 199, 209, 231, 232 |
11 | 169, 199, 209, 77, 232 |
169, 199, 19, 7, 232 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 169 x 199 x 19 x 7 x 232 = 136978793952
Therefore, the lowest common multiple of 507,398,418,924,928 is 136978793952.
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 398 x 418 x 924 x 928 = 72324803206656
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
398 : 1, 2, 199, 398
418 : 1, 2, 11, 19, 22, 38, 209, 418
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,398,418,924,928, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
398:2x 199
418:2x 11x 19
924:2x 2x 3x 7x 11
928:2x 2x 2x 2x 2x 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 2x 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 72324803206656/(1x528)
LCM = 72324803206656/528
LCM = 136978793952
Thus, we can understand that the LCM of 507,398,418,924,928 is 136978793952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 398, 418, 924, 928?
Answer: LCM of 507, 398, 418, 924, 928 is 136978793952.
2. How to calculate the LCM of 507, 398, 418, 924, 928?
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, 398, 418, 924, 928.
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}.