Find the LCM of 947, 579, 321, 121, 316 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 947, 579, 321, 121, 316. So, keep reading to learn more.
Given numbers are 947,579,321,121,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,579,321,121,316 is 2243286657876.
Find LCM of 947,579,321,121,316 with Prime Factorization
3 | 947, 579, 321, 121, 316 |
947, 193, 107, 121, 316 |
Multiply the prime numbers at the bottom and the left side.
3 x 947 x 193 x 107 x 121 x 316 = 2243286657876
Therefore, the lowest common multiple of 947,579,321,121,316 is 2243286657876.
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.
947 x 579 x 321 x 121 x 316 = 6729859973628
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.
947 : 1, 947
579 : 1, 3, 193, 579
321 : 1, 3, 107, 321
121 : 1, 11, 121
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,579,321,121,316, is 1.
Now, the common factors can be found like this.
947:947
579:3x 193
321:3x 107
121:11x 11
316:2x 2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 6729859973628/(1x3)
LCM = 6729859973628/3
LCM = 2243286657876
Thus, we can understand that the LCM of 947,579,321,121,316 is 2243286657876.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 579, 321, 121, 316?
Answer: LCM of 947, 579, 321, 121, 316 is 2243286657876.
2. How to calculate the LCM of 947, 579, 321, 121, 316?
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 947, 579, 321, 121, 316.
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}.