Find the LCM of 265, 278, 964, 918, 872 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 265, 278, 964, 918, 872. So, keep reading to learn more.
Given numbers are 265,278,964,918,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,278,964,918,872 is 3553095554280.
Find LCM of 265,278,964,918,872 with Prime Factorization
2 | 265, 278, 964, 918, 872 |
2 | 265, 139, 482, 459, 436 |
265, 139, 241, 459, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 265 x 139 x 241 x 459 x 218 = 3553095554280
Therefore, the lowest common multiple of 265,278,964,918,872 is 3553095554280.
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.
265 x 278 x 964 x 918 x 872 = 56849528868480
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.
265 : 1, 5, 53, 265
278 : 1, 2, 139, 278
964 : 1, 2, 4, 241, 482, 964
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,278,964,918,872, is 1.
Now, the common factors can be found like this.
265:5x 53
278:2x 139
964:2x 2x 241
918:2x 3x 3x 3x 17
872:2x 2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 56849528868480/(1x16)
LCM = 56849528868480/16
LCM = 3553095554280
Thus, we can understand that the LCM of 265,278,964,918,872 is 3553095554280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 265, 278, 964, 918, 872?
Answer: LCM of 265, 278, 964, 918, 872 is 3553095554280.
2. How to calculate the LCM of 265, 278, 964, 918, 872?
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 265, 278, 964, 918, 872.
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}.