Find the LCM of 377, 884, 257, 663, 324 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 377, 884, 257, 663, 324. So, keep reading to learn more.
Given numbers are 377,884,257,663,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,884,257,663,324 is 533664612.
Find LCM of 377,884,257,663,324 with Prime Factorization
2 | 377, 884, 257, 663, 324 |
2 | 377, 442, 257, 663, 162 |
3 | 377, 221, 257, 663, 81 |
13 | 377, 221, 257, 221, 27 |
17 | 29, 17, 257, 17, 27 |
29, 1, 257, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 29 x 1 x 257 x 1 x 27 = 533664612
Therefore, the lowest common multiple of 377,884,257,663,324 is 533664612.
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.
377 x 884 x 257 x 663 x 324 = 18398621163312
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.
377 : 1, 13, 29, 377
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
257 : 1, 257
663 : 1, 3, 13, 17, 39, 51, 221, 663
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,884,257,663,324, is 1.
Now, the common factors can be found like this.
377:13x 29
884:2x 2x 13x 17
257:257
663:3x 13x 17
324:2x 2x 3x 3x 3x 3
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 3x 13x 13x 17 = 34476
Therefore, the value for common factors is 34476.
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 = 18398621163312/(1x34476)
LCM = 18398621163312/34476
LCM = 533664612
Thus, we can understand that the LCM of 377,884,257,663,324 is 533664612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 884, 257, 663, 324?
Answer: LCM of 377, 884, 257, 663, 324 is 533664612.
2. How to calculate the LCM of 377, 884, 257, 663, 324?
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 377, 884, 257, 663, 324.
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}.