Find the LCM of 677, 546, 969, 228, 948 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 677, 546, 969, 228, 948. So, keep reading to learn more.
Given numbers are 677,546,969,228,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,546,969,228,948 is 18864309828.
Find LCM of 677,546,969,228,948 with Prime Factorization
2 | 677, 546, 969, 228, 948 |
2 | 677, 273, 969, 114, 474 |
3 | 677, 273, 969, 57, 237 |
19 | 677, 91, 323, 19, 79 |
677, 91, 17, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 677 x 91 x 17 x 1 x 79 = 18864309828
Therefore, the lowest common multiple of 677,546,969,228,948 is 18864309828.
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.
677 x 546 x 969 x 228 x 948 = 77419127534112
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.
677 : 1, 677
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
969 : 1, 3, 17, 19, 51, 57, 323, 969
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,546,969,228,948, is 1.
Now, the common factors can be found like this.
677:677
546:2x 3x 7x 13
969:3x 17x 19
228:2x 2x 3x 19
948:2x 2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 77419127534112/(1x4104)
LCM = 77419127534112/4104
LCM = 18864309828
Thus, we can understand that the LCM of 677,546,969,228,948 is 18864309828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 546, 969, 228, 948?
Answer: LCM of 677, 546, 969, 228, 948 is 18864309828.
2. How to calculate the LCM of 677, 546, 969, 228, 948?
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 677, 546, 969, 228, 948.
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}.