Find the LCM of 508, 134, 867, 402, 495 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 508, 134, 867, 402, 495. So, keep reading to learn more.
Given numbers are 508,134,867,402,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,134,867,402,495 is 4869019980.
Find LCM of 508,134,867,402,495 with Prime Factorization
2 | 508, 134, 867, 402, 495 |
3 | 254, 67, 867, 201, 495 |
67 | 254, 67, 289, 67, 165 |
254, 1, 289, 1, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 254 x 1 x 289 x 1 x 165 = 4869019980
Therefore, the lowest common multiple of 508,134,867,402,495 is 4869019980.
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.
508 x 134 x 867 x 402 x 495 = 11744076191760
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.
508 : 1, 2, 4, 127, 254, 508
134 : 1, 2, 67, 134
867 : 1, 3, 17, 51, 289, 867
402 : 1, 2, 3, 6, 67, 134, 201, 402
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,134,867,402,495, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
134:2x 67
867:3x 17x 17
402:2x 3x 67
495:3x 3x 5x 11
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 3x 3x 67 = 2412
Therefore, the value for common factors is 2412.
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 = 11744076191760/(1x2412)
LCM = 11744076191760/2412
LCM = 4869019980
Thus, we can understand that the LCM of 508,134,867,402,495 is 4869019980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 134, 867, 402, 495?
Answer: LCM of 508, 134, 867, 402, 495 is 4869019980.
2. How to calculate the LCM of 508, 134, 867, 402, 495?
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 508, 134, 867, 402, 495.
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}.