Find the LCM of 578, 527, 118, 496 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 578, 527, 118, 496. So, keep reading to learn more.
Given numbers are 578,527,118,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,527,118,496 is 8457296.
Find LCM of 578,527,118,496 with Prime Factorization
2 | 578, 527, 118, 496 |
17 | 289, 527, 59, 248 |
31 | 17, 31, 59, 248 |
17, 1, 59, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 31 x 17 x 1 x 59 x 8 = 8457296
Therefore, the lowest common multiple of 578,527,118,496 is 8457296.
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.
578 x 527 x 118 x 496 = 17827979968
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.
578 : 1, 2, 17, 34, 289, 578
527 : 1, 17, 31, 527
118 : 1, 2, 59, 118
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,527,118,496, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
527:17x 31
118:2x 59
496:2x 2x 2x 2x 31
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 17x 31 = 2108
Therefore, the value for common factors is 2108.
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 = 17827979968/(1x2108)
LCM = 17827979968/2108
LCM = 8457296
Thus, we can understand that the LCM of 578,527,118,496 is 8457296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 527, 118, 496?
Answer: LCM of 578, 527, 118, 496 is 8457296.
2. How to calculate the LCM of 578, 527, 118, 496?
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 578, 527, 118, 496.
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}.