Find the LCM of 260, 298, 262, 591, 376 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 260, 298, 262, 591, 376. So, keep reading to learn more.
Given numbers are 260,298,262,591,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,298,262,591,376 is 281933216760.
Find LCM of 260,298,262,591,376 with Prime Factorization
2 | 260, 298, 262, 591, 376 |
2 | 130, 149, 131, 591, 188 |
65, 149, 131, 591, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 65 x 149 x 131 x 591 x 94 = 281933216760
Therefore, the lowest common multiple of 260,298,262,591,376 is 281933216760.
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.
260 x 298 x 262 x 591 x 376 = 4510931468160
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
298 : 1, 2, 149, 298
262 : 1, 2, 131, 262
591 : 1, 3, 197, 591
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,298,262,591,376, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
298:2x 149
262:2x 131
591:3x 197
376:2x 2x 2x 47
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 = 4510931468160/(1x16)
LCM = 4510931468160/16
LCM = 281933216760
Thus, we can understand that the LCM of 260,298,262,591,376 is 281933216760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 298, 262, 591, 376?
Answer: LCM of 260, 298, 262, 591, 376 is 281933216760.
2. How to calculate the LCM of 260, 298, 262, 591, 376?
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 260, 298, 262, 591, 376.
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}.