Find the LCM of 374, 423, 528, 897 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 374, 423, 528, 897. So, keep reading to learn more.
Given numbers are 374,423,528,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,423,528,897 is 378419184.
Find LCM of 374,423,528,897 with Prime Factorization
2 | 374, 423, 528, 897 |
3 | 187, 423, 264, 897 |
11 | 187, 141, 88, 299 |
17, 141, 8, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 141 x 8 x 299 = 378419184
Therefore, the lowest common multiple of 374,423,528,897 is 378419184.
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.
374 x 423 x 528 x 897 = 74926998432
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
423 : 1, 3, 9, 47, 141, 423
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,423,528,897, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
423:3x 3x 47
528:2x 2x 2x 2x 3x 11
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 74926998432/(1x198)
LCM = 74926998432/198
LCM = 378419184
Thus, we can understand that the LCM of 374,423,528,897 is 378419184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 423, 528, 897?
Answer: LCM of 374, 423, 528, 897 is 378419184.
2. How to calculate the LCM of 374, 423, 528, 897?
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 374, 423, 528, 897.
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}.