Find the LCM of 554, 452, 352, 924, 343 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 554, 452, 352, 924, 343. So, keep reading to learn more.
Given numbers are 554,452,352,924,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,452,352,924,343 is 11337472608.
Find LCM of 554,452,352,924,343 with Prime Factorization
2 | 554, 452, 352, 924, 343 |
2 | 277, 226, 176, 462, 343 |
7 | 277, 113, 88, 231, 343 |
11 | 277, 113, 88, 33, 49 |
277, 113, 8, 3, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 277 x 113 x 8 x 3 x 49 = 11337472608
Therefore, the lowest common multiple of 554,452,352,924,343 is 11337472608.
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.
554 x 452 x 352 x 924 x 343 = 27935532506112
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.
554 : 1, 2, 277, 554
452 : 1, 2, 4, 113, 226, 452
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,452,352,924,343, is 1.
Now, the common factors can be found like this.
554:2x 277
452:2x 2x 113
352:2x 2x 2x 2x 2x 11
924:2x 2x 3x 7x 11
343:7x 7x 7
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 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 27935532506112/(1x2464)
LCM = 27935532506112/2464
LCM = 11337472608
Thus, we can understand that the LCM of 554,452,352,924,343 is 11337472608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 554, 452, 352, 924, 343?
Answer: LCM of 554, 452, 352, 924, 343 is 11337472608.
2. How to calculate the LCM of 554, 452, 352, 924, 343?
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 554, 452, 352, 924, 343.
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}.