Find the LCM of 878, 137, 921, 648, 378 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 878, 137, 921, 648, 378. So, keep reading to learn more.
Given numbers are 878,137,921,648,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,137,921,648,378 is 83752254936.
Find LCM of 878,137,921,648,378 with Prime Factorization
2 | 878, 137, 921, 648, 378 |
3 | 439, 137, 921, 324, 189 |
3 | 439, 137, 307, 108, 63 |
3 | 439, 137, 307, 36, 21 |
439, 137, 307, 12, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 439 x 137 x 307 x 12 x 7 = 83752254936
Therefore, the lowest common multiple of 878,137,921,648,378 is 83752254936.
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.
878 x 137 x 921 x 648 x 378 = 27135730599264
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.
878 : 1, 2, 439, 878
137 : 1, 137
921 : 1, 3, 307, 921
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,137,921,648,378, is 1.
Now, the common factors can be found like this.
878:2x 439
137:137
921:3x 307
648:2x 2x 2x 3x 3x 3x 3
378:2x 3x 3x 3x 7
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 27135730599264/(1x324)
LCM = 27135730599264/324
LCM = 83752254936
Thus, we can understand that the LCM of 878,137,921,648,378 is 83752254936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 878, 137, 921, 648, 378?
Answer: LCM of 878, 137, 921, 648, 378 is 83752254936.
2. How to calculate the LCM of 878, 137, 921, 648, 378?
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 878, 137, 921, 648, 378.
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}.