Find the LCM of 594, 624, 411, 416, 608 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 594, 624, 411, 416, 608. So, keep reading to learn more.
Given numbers are 594,624,411,416,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,624,411,416,608 is 321605856.
Find LCM of 594,624,411,416,608 with Prime Factorization
2 | 594, 624, 411, 416, 608 |
2 | 297, 312, 411, 208, 304 |
2 | 297, 156, 411, 104, 152 |
2 | 297, 78, 411, 52, 76 |
2 | 297, 39, 411, 26, 38 |
3 | 297, 39, 411, 13, 19 |
13 | 99, 13, 137, 13, 19 |
99, 1, 137, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 13 x 99 x 1 x 137 x 1 x 19 = 321605856
Therefore, the lowest common multiple of 594,624,411,416,608 is 321605856.
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.
594 x 624 x 411 x 416 x 608 = 38530954395648
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
411 : 1, 3, 137, 411
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,624,411,416,608, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
624:2x 2x 2x 2x 3x 13
411:3x 137
416:2x 2x 2x 2x 2x 13
608:2x 2x 2x 2x 2x 19
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 2x 2x 2x 2x 2x 3x 3x 13 = 119808
Therefore, the value for common factors is 119808.
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 = 38530954395648/(1x119808)
LCM = 38530954395648/119808
LCM = 321605856
Thus, we can understand that the LCM of 594,624,411,416,608 is 321605856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 594, 624, 411, 416, 608?
Answer: LCM of 594, 624, 411, 416, 608 is 321605856.
2. How to calculate the LCM of 594, 624, 411, 416, 608?
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 594, 624, 411, 416, 608.
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}.