Find the LCM of 534, 687, 117, 152, 442 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 534, 687, 117, 152, 442. So, keep reading to learn more.
Given numbers are 534,687,117,152,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,687,117,152,442 is 6161746968.
Find LCM of 534,687,117,152,442 with Prime Factorization
2 | 534, 687, 117, 152, 442 |
3 | 267, 687, 117, 76, 221 |
13 | 89, 229, 39, 76, 221 |
89, 229, 3, 76, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 89 x 229 x 3 x 76 x 17 = 6161746968
Therefore, the lowest common multiple of 534,687,117,152,442 is 6161746968.
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.
534 x 687 x 117 x 152 x 442 = 2883697581024
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
687 : 1, 3, 229, 687
117 : 1, 3, 9, 13, 39, 117
152 : 1, 2, 4, 8, 19, 38, 76, 152
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,687,117,152,442, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
687:3x 229
117:3x 3x 13
152:2x 2x 2x 19
442:2x 13x 17
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 13 = 468
Therefore, the value for common factors is 468.
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 = 2883697581024/(1x468)
LCM = 2883697581024/468
LCM = 6161746968
Thus, we can understand that the LCM of 534,687,117,152,442 is 6161746968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 534, 687, 117, 152, 442?
Answer: LCM of 534, 687, 117, 152, 442 is 6161746968.
2. How to calculate the LCM of 534, 687, 117, 152, 442?
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 534, 687, 117, 152, 442.
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}.