Find the LCM of 273, 767, 299, 878, 617 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 273, 767, 299, 878, 617. So, keep reading to learn more.
Given numbers are 273,767,299,878,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,767,299,878,617 is 200688355686.
Find LCM of 273,767,299,878,617 with Prime Factorization
13 | 273, 767, 299, 878, 617 |
21, 59, 23, 878, 617 |
Multiply the prime numbers at the bottom and the left side.
13 x 21 x 59 x 23 x 878 x 617 = 200688355686
Therefore, the lowest common multiple of 273,767,299,878,617 is 200688355686.
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.
273 x 767 x 299 x 878 x 617 = 33916332110934
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
767 : 1, 13, 59, 767
299 : 1, 13, 23, 299
878 : 1, 2, 439, 878
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,767,299,878,617, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
767:13x 59
299:13x 23
878:2x 439
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 33916332110934/(1x169)
LCM = 33916332110934/169
LCM = 200688355686
Thus, we can understand that the LCM of 273,767,299,878,617 is 200688355686.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 767, 299, 878, 617?
Answer: LCM of 273, 767, 299, 878, 617 is 200688355686.
2. How to calculate the LCM of 273, 767, 299, 878, 617?
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 273, 767, 299, 878, 617.
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}.