Find the LCM of 301, 979, 198, 795, 972 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 301, 979, 198, 795, 972. So, keep reading to learn more.
Given numbers are 301,979,198,795,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,979,198,795,972 is 75903416820.
Find LCM of 301,979,198,795,972 with Prime Factorization
2 | 301, 979, 198, 795, 972 |
3 | 301, 979, 99, 795, 486 |
3 | 301, 979, 33, 265, 162 |
11 | 301, 979, 11, 265, 54 |
301, 89, 1, 265, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 301 x 89 x 1 x 265 x 54 = 75903416820
Therefore, the lowest common multiple of 301,979,198,795,972 is 75903416820.
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.
301 x 979 x 198 x 795 x 972 = 45086629591080
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.
301 : 1, 7, 43, 301
979 : 1, 11, 89, 979
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
795 : 1, 3, 5, 15, 53, 159, 265, 795
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,979,198,795,972, is 1.
Now, the common factors can be found like this.
301:7x 43
979:11x 89
198:2x 3x 3x 11
795:3x 5x 53
972:2x 2x 3x 3x 3x 3x 3
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 11 = 594
Therefore, the value for common factors is 594.
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 = 45086629591080/(1x594)
LCM = 45086629591080/594
LCM = 75903416820
Thus, we can understand that the LCM of 301,979,198,795,972 is 75903416820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 979, 198, 795, 972?
Answer: LCM of 301, 979, 198, 795, 972 is 75903416820.
2. How to calculate the LCM of 301, 979, 198, 795, 972?
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 301, 979, 198, 795, 972.
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}.