Find the LCM of 277, 745, 817, 636, 765 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 277, 745, 817, 636, 765. So, keep reading to learn more.
Given numbers are 277,745,817,636,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,745,817,636,765 is 5468716249380.
Find LCM of 277,745,817,636,765 with Prime Factorization
3 | 277, 745, 817, 636, 765 |
5 | 277, 745, 817, 212, 255 |
277, 149, 817, 212, 51 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 277 x 149 x 817 x 212 x 51 = 5468716249380
Therefore, the lowest common multiple of 277,745,817,636,765 is 5468716249380.
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.
277 x 745 x 817 x 636 x 765 = 82030743740700
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.
277 : 1, 277
745 : 1, 5, 149, 745
817 : 1, 19, 43, 817
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,745,817,636,765, is 1.
Now, the common factors can be found like this.
277:277
745:5x 149
817:19x 43
636:2x 2x 3x 53
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 82030743740700/(1x15)
LCM = 82030743740700/15
LCM = 5468716249380
Thus, we can understand that the LCM of 277,745,817,636,765 is 5468716249380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 277, 745, 817, 636, 765?
Answer: LCM of 277, 745, 817, 636, 765 is 5468716249380.
2. How to calculate the LCM of 277, 745, 817, 636, 765?
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 277, 745, 817, 636, 765.
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}.