Find the LCM of 608, 377, 754, 458, 976 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 608, 377, 754, 458, 976. So, keep reading to learn more.
Given numbers are 608,377,754,458,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,377,754,458,976 is 3201918304.
Find LCM of 608,377,754,458,976 with Prime Factorization
2 | 608, 377, 754, 458, 976 |
2 | 304, 377, 377, 229, 488 |
2 | 152, 377, 377, 229, 244 |
2 | 76, 377, 377, 229, 122 |
13 | 38, 377, 377, 229, 61 |
29 | 38, 29, 29, 229, 61 |
38, 1, 1, 229, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 29 x 38 x 1 x 1 x 229 x 61 = 3201918304
Therefore, the lowest common multiple of 608,377,754,458,976 is 3201918304.
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.
608 x 377 x 754 x 458 x 976 = 77255884838912
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
377 : 1, 13, 29, 377
754 : 1, 2, 13, 26, 29, 58, 377, 754
458 : 1, 2, 229, 458
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,377,754,458,976, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
377:13x 29
754:2x 13x 29
458:2x 229
976:2x 2x 2x 2x 61
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 13x 29 = 24128
Therefore, the value for common factors is 24128.
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 = 77255884838912/(1x24128)
LCM = 77255884838912/24128
LCM = 3201918304
Thus, we can understand that the LCM of 608,377,754,458,976 is 3201918304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 377, 754, 458, 976?
Answer: LCM of 608, 377, 754, 458, 976 is 3201918304.
2. How to calculate the LCM of 608, 377, 754, 458, 976?
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 608, 377, 754, 458, 976.
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}.