Find the LCM of 107, 167, 437, 608, 553 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 107, 167, 437, 608, 553. So, keep reading to learn more.
Given numbers are 107,167,437,608,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,167,437,608,553 is 138183693088.
Find LCM of 107,167,437,608,553 with Prime Factorization
19 | 107, 167, 437, 608, 553 |
107, 167, 23, 32, 553 |
Multiply the prime numbers at the bottom and the left side.
19 x 107 x 167 x 23 x 32 x 553 = 138183693088
Therefore, the lowest common multiple of 107,167,437,608,553 is 138183693088.
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.
107 x 167 x 437 x 608 x 553 = 2625490168672
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.
107 : 1, 107
167 : 1, 167
437 : 1, 19, 23, 437
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,167,437,608,553, is 1.
Now, the common factors can be found like this.
107:107
167:167
437:19x 23
608:2x 2x 2x 2x 2x 19
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 2625490168672/(1x19)
LCM = 2625490168672/19
LCM = 138183693088
Thus, we can understand that the LCM of 107,167,437,608,553 is 138183693088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 167, 437, 608, 553?
Answer: LCM of 107, 167, 437, 608, 553 is 138183693088.
2. How to calculate the LCM of 107, 167, 437, 608, 553?
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 107, 167, 437, 608, 553.
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}.