LCM of 627, 607, 915, 684, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 607, 915, 684, 855 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 627, 607, 915, 684, 855. So, keep reading to learn more.
Given numbers are 627,607,915,684,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,607,915,684,855 is 1392955740.
Find LCM of 627,607,915,684,855 with Prime Factorization
| 3 | 627, 607, 915, 684, 855 |
| 3 | 209, 607, 305, 228, 285 |
| 5 | 209, 607, 305, 76, 95 |
| 19 | 209, 607, 61, 76, 19 |
| 11, 607, 61, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 11 x 607 x 61 x 4 x 1 = 1392955740
Therefore, the lowest common multiple of 627,607,915,684,855 is 1392955740.
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.
627 x 607 x 915 x 684 x 855 = 203657093966700
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
607 : 1, 607
915 : 1, 3, 5, 15, 61, 183, 305, 915
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,607,915,684,855, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
607:607
915:3x 5x 61
684:2x 2x 3x 3x 19
855:3x 3x 5x 19
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 3x 3x 5x 19x 19 = 146205
Therefore, the value for common factors is 146205.
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 = 203657093966700/(1x146205)
LCM = 203657093966700/146205
LCM = 1392955740
Thus, we can understand that the LCM of 627,607,915,684,855 is 1392955740.
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FAQs on LCM of 627, 607, 915, 684, 855
1. What is the LCM of 627, 607, 915, 684, 855?
Answer: LCM of 627, 607, 915, 684, 855 is 1392955740.
2. How to calculate the LCM of 627, 607, 915, 684, 855?
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 627, 607, 915, 684, 855.
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}.