Find the LCM of 617, 988, 399, 951, 273 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 617, 988, 399, 951, 273. So, keep reading to learn more.
Given numbers are 617,988,399,951,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,988,399,951,273 is 4058080572.
Find LCM of 617,988,399,951,273 with Prime Factorization
3 | 617, 988, 399, 951, 273 |
7 | 617, 988, 133, 317, 91 |
13 | 617, 988, 19, 317, 13 |
19 | 617, 76, 19, 317, 1 |
617, 4, 1, 317, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 19 x 617 x 4 x 1 x 317 x 1 = 4058080572
Therefore, the lowest common multiple of 617,988,399,951,273 is 4058080572.
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.
617 x 988 x 399 x 951 x 273 = 63147791780892
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.
617 : 1, 617
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
399 : 1, 3, 7, 19, 21, 57, 133, 399
951 : 1, 3, 317, 951
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,988,399,951,273, is 1.
Now, the common factors can be found like this.
617:617
988:2x 2x 13x 19
399:3x 7x 19
951:3x 317
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 13x 19 = 15561
Therefore, the value for common factors is 15561.
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 = 63147791780892/(1x15561)
LCM = 63147791780892/15561
LCM = 4058080572
Thus, we can understand that the LCM of 617,988,399,951,273 is 4058080572.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 617, 988, 399, 951, 273?
Answer: LCM of 617, 988, 399, 951, 273 is 4058080572.
2. How to calculate the LCM of 617, 988, 399, 951, 273?
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 617, 988, 399, 951, 273.
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}.