Find the LCM of 524, 493, 442, 897, 624 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, 493, 442, 897, 624. So, keep reading to learn more.
Given numbers are 524,493,442,897,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,493,442,897,624 is 926895216.
Find LCM of 524,493,442,897,624 with Prime Factorization
2 | 524, 493, 442, 897, 624 |
2 | 262, 493, 221, 897, 312 |
3 | 131, 493, 221, 897, 156 |
13 | 131, 493, 221, 299, 52 |
17 | 131, 493, 17, 23, 4 |
131, 29, 1, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 131 x 29 x 1 x 23 x 4 = 926895216
Therefore, the lowest common multiple of 524,493,442,897,624 is 926895216.
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 493 x 442 x 897 x 624 = 63911278933632
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
493 : 1, 17, 29, 493
442 : 1, 2, 13, 17, 26, 34, 221, 442
897 : 1, 3, 13, 23, 39, 69, 299, 897
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,493,442,897,624, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
493:17x 29
442:2x 13x 17
897:3x 13x 23
624:2x 2x 2x 2x 3x 13
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 3x 13x 13x 17 = 68952
Therefore, the value for common factors is 68952.
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 = 63911278933632/(1x68952)
LCM = 63911278933632/68952
LCM = 926895216
Thus, we can understand that the LCM of 524,493,442,897,624 is 926895216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 493, 442, 897, 624?
Answer: LCM of 524, 493, 442, 897, 624 is 926895216.
2. How to calculate the LCM of 524, 493, 442, 897, 624?
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, 493, 442, 897, 624.
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}.