Find the LCM of 107, 948, 987, 702, 333 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 107, 948, 987, 702, 333. So, keep reading to learn more.
Given numbers are 107,948,987,702,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,948,987,702,333 is 144469310076.
Find LCM of 107,948,987,702,333 with Prime Factorization
2 | 107, 948, 987, 702, 333 |
3 | 107, 474, 987, 351, 333 |
3 | 107, 158, 329, 117, 111 |
107, 158, 329, 39, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 158 x 329 x 39 x 37 = 144469310076
Therefore, the lowest common multiple of 107,948,987,702,333 is 144469310076.
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.
107 x 948 x 987 x 702 x 333 = 23404028232312
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.
107 : 1, 107
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
987 : 1, 3, 7, 21, 47, 141, 329, 987
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,948,987,702,333, is 1.
Now, the common factors can be found like this.
107:107
948:2x 2x 3x 79
987:3x 7x 47
702:2x 3x 3x 3x 13
333:3x 3x 37
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 3 = 162
Therefore, the value for common factors is 162.
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 = 23404028232312/(1x162)
LCM = 23404028232312/162
LCM = 144469310076
Thus, we can understand that the LCM of 107,948,987,702,333 is 144469310076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 948, 987, 702, 333?
Answer: LCM of 107, 948, 987, 702, 333 is 144469310076.
2. How to calculate the LCM of 107, 948, 987, 702, 333?
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 107, 948, 987, 702, 333.
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}.