Find the LCM of 959, 204, 941, 901, 755 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 959, 204, 941, 901, 755. So, keep reading to learn more.
Given numbers are 959,204,941,901,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,204,941,901,755 is 7366500442140.
Find LCM of 959,204,941,901,755 with Prime Factorization
17 | 959, 204, 941, 901, 755 |
959, 12, 941, 53, 755 |
Multiply the prime numbers at the bottom and the left side.
17 x 959 x 12 x 941 x 53 x 755 = 7366500442140
Therefore, the lowest common multiple of 959,204,941,901,755 is 7366500442140.
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.
959 x 204 x 941 x 901 x 755 = 125230507516380
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.
959 : 1, 7, 137, 959
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
941 : 1, 941
901 : 1, 17, 53, 901
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,204,941,901,755, is 1.
Now, the common factors can be found like this.
959:7x 137
204:2x 2x 3x 17
941:941
901:17x 53
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 125230507516380/(1x17)
LCM = 125230507516380/17
LCM = 7366500442140
Thus, we can understand that the LCM of 959,204,941,901,755 is 7366500442140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 204, 941, 901, 755?
Answer: LCM of 959, 204, 941, 901, 755 is 7366500442140.
2. How to calculate the LCM of 959, 204, 941, 901, 755?
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 959, 204, 941, 901, 755.
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}.