Find the LCM of 524, 756, 238, 584, 409 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 524, 756, 238, 584, 409. So, keep reading to learn more.
Given numbers are 524,756,238,584,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,756,238,584,409 is 100535206968.
Find LCM of 524,756,238,584,409 with Prime Factorization
2 | 524, 756, 238, 584, 409 |
2 | 262, 378, 119, 292, 409 |
7 | 131, 189, 119, 146, 409 |
131, 27, 17, 146, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 131 x 27 x 17 x 146 x 409 = 100535206968
Therefore, the lowest common multiple of 524,756,238,584,409 is 100535206968.
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.
524 x 756 x 238 x 584 x 409 = 22519886360832
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.
524 : 1, 2, 4, 131, 262, 524
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
238 : 1, 2, 7, 14, 17, 34, 119, 238
584 : 1, 2, 4, 8, 73, 146, 292, 584
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,756,238,584,409, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
756:2x 2x 3x 3x 3x 7
238:2x 7x 17
584:2x 2x 2x 73
409:409
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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 22519886360832/(1x224)
LCM = 22519886360832/224
LCM = 100535206968
Thus, we can understand that the LCM of 524,756,238,584,409 is 100535206968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 756, 238, 584, 409?
Answer: LCM of 524, 756, 238, 584, 409 is 100535206968.
2. How to calculate the LCM of 524, 756, 238, 584, 409?
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 524, 756, 238, 584, 409.
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}.