Find the LCM of 152, 379, 144, 696, 515 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 152, 379, 144, 696, 515. So, keep reading to learn more.
Given numbers are 152,379,144,696,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,379,144,696,515 is 15486758640.
Find LCM of 152,379,144,696,515 with Prime Factorization
2 | 152, 379, 144, 696, 515 |
2 | 76, 379, 72, 348, 515 |
2 | 38, 379, 36, 174, 515 |
3 | 19, 379, 18, 87, 515 |
19, 379, 6, 29, 515 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 379 x 6 x 29 x 515 = 15486758640
Therefore, the lowest common multiple of 152,379,144,696,515 is 15486758640.
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.
152 x 379 x 144 x 696 x 515 = 2973457658880
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
379 : 1, 379
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,379,144,696,515, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
379:379
144:2x 2x 2x 2x 3x 3
696:2x 2x 2x 3x 29
515:5x 103
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 2973457658880/(1x192)
LCM = 2973457658880/192
LCM = 15486758640
Thus, we can understand that the LCM of 152,379,144,696,515 is 15486758640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 379, 144, 696, 515?
Answer: LCM of 152, 379, 144, 696, 515 is 15486758640.
2. How to calculate the LCM of 152, 379, 144, 696, 515?
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 152, 379, 144, 696, 515.
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}.