Find the LCM of 361, 696, 955, 522, 639 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 361, 696, 955, 522, 639. So, keep reading to learn more.
Given numbers are 361,696,955,522,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,696,955,522,639 is 51109239240.
Find LCM of 361,696,955,522,639 with Prime Factorization
2 | 361, 696, 955, 522, 639 |
3 | 361, 348, 955, 261, 639 |
3 | 361, 116, 955, 87, 213 |
29 | 361, 116, 955, 29, 71 |
361, 4, 955, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 361 x 4 x 955 x 1 x 71 = 51109239240
Therefore, the lowest common multiple of 361,696,955,522,639 is 51109239240.
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.
361 x 696 x 955 x 522 x 639 = 80037068649840
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.
361 : 1, 19, 361
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
955 : 1, 5, 191, 955
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,696,955,522,639, is 1.
Now, the common factors can be found like this.
361:19x 19
696:2x 2x 2x 3x 29
955:5x 191
522:2x 3x 3x 29
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 29 = 1566
Therefore, the value for common factors is 1566.
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 = 80037068649840/(1x1566)
LCM = 80037068649840/1566
LCM = 51109239240
Thus, we can understand that the LCM of 361,696,955,522,639 is 51109239240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 696, 955, 522, 639?
Answer: LCM of 361, 696, 955, 522, 639 is 51109239240.
2. How to calculate the LCM of 361, 696, 955, 522, 639?
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 361, 696, 955, 522, 639.
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}.