Find the LCM of 152, 875, 959, 728, 665 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, 875, 959, 728, 665. So, keep reading to learn more.
Given numbers are 152,875,959,728,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,875,959,728,665 is 236873000.
Find LCM of 152,875,959,728,665 with Prime Factorization
2 | 152, 875, 959, 728, 665 |
2 | 76, 875, 959, 364, 665 |
2 | 38, 875, 959, 182, 665 |
5 | 19, 875, 959, 91, 665 |
7 | 19, 175, 959, 91, 133 |
19 | 19, 25, 137, 13, 19 |
1, 25, 137, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 19 x 1 x 25 x 137 x 13 x 1 = 236873000
Therefore, the lowest common multiple of 152,875,959,728,665 is 236873000.
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 875 x 959 x 728 x 665 = 61748053640000
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
875 : 1, 5, 7, 25, 35, 125, 175, 875
959 : 1, 7, 137, 959
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,875,959,728,665, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
875:5x 5x 5x 7
959:7x 137
728:2x 2x 2x 7x 13
665:5x 7x 19
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 5x 7x 7x 7x 19 = 260680
Therefore, the value for common factors is 260680.
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 = 61748053640000/(1x260680)
LCM = 61748053640000/260680
LCM = 236873000
Thus, we can understand that the LCM of 152,875,959,728,665 is 236873000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 875, 959, 728, 665?
Answer: LCM of 152, 875, 959, 728, 665 is 236873000.
2. How to calculate the LCM of 152, 875, 959, 728, 665?
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, 875, 959, 728, 665.
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}.