Find the LCM of 947, 979, 356, 523, 267 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, 979, 356, 523, 267. So, keep reading to learn more.
Given numbers are 947,979,356,523,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,979,356,523,267 is 5818561188.
Find LCM of 947,979,356,523,267 with Prime Factorization
89 | 947, 979, 356, 523, 267 |
947, 11, 4, 523, 3 |
Multiply the prime numbers at the bottom and the left side.
89 x 947 x 11 x 4 x 523 x 3 = 5818561188
Therefore, the lowest common multiple of 947,979,356,523,267 is 5818561188.
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 979 x 356 x 523 x 267 = 46088823170148
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
979 : 1, 11, 89, 979
356 : 1, 2, 4, 89, 178, 356
523 : 1, 523
267 : 1, 3, 89, 267
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,979,356,523,267, is 1.
Now, the common factors can be found like this.
947:947
979:11x 89
356:2x 2x 89
523:523
267:3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
89x 89 = 7921
Therefore, the value for common factors is 7921.
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 = 46088823170148/(1x7921)
LCM = 46088823170148/7921
LCM = 5818561188
Thus, we can understand that the LCM of 947,979,356,523,267 is 5818561188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 979, 356, 523, 267?
Answer: LCM of 947, 979, 356, 523, 267 is 5818561188.
2. How to calculate the LCM of 947, 979, 356, 523, 267?
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, 979, 356, 523, 267.
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}.