Find the LCM of 958, 141, 175, 115, 299 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 958, 141, 175, 115, 299. So, keep reading to learn more.
Given numbers are 958,141,175,115,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,141,175,115,299 is 7067956350.
Find LCM of 958,141,175,115,299 with Prime Factorization
5 | 958, 141, 175, 115, 299 |
23 | 958, 141, 35, 23, 299 |
958, 141, 35, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 958 x 141 x 35 x 1 x 13 = 7067956350
Therefore, the lowest common multiple of 958,141,175,115,299 is 7067956350.
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.
958 x 141 x 175 x 115 x 299 = 812814980250
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.
958 : 1, 2, 479, 958
141 : 1, 3, 47, 141
175 : 1, 5, 7, 25, 35, 175
115 : 1, 5, 23, 115
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,141,175,115,299, is 1.
Now, the common factors can be found like this.
958:2x 479
141:3x 47
175:5x 5x 7
115:5x 23
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 812814980250/(1x115)
LCM = 812814980250/115
LCM = 7067956350
Thus, we can understand that the LCM of 958,141,175,115,299 is 7067956350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 958, 141, 175, 115, 299?
Answer: LCM of 958, 141, 175, 115, 299 is 7067956350.
2. How to calculate the LCM of 958, 141, 175, 115, 299?
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 958, 141, 175, 115, 299.
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}.