Find the LCM of 861, 879, 833, 507, 381 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 861, 879, 833, 507, 381. So, keep reading to learn more.
Given numbers are 861,879,833,507,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,879,833,507,381 is 644329712481.
Find LCM of 861,879,833,507,381 with Prime Factorization
3 | 861, 879, 833, 507, 381 |
7 | 287, 293, 833, 169, 127 |
41, 293, 119, 169, 127 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 41 x 293 x 119 x 169 x 127 = 644329712481
Therefore, the lowest common multiple of 861,879,833,507,381 is 644329712481.
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.
861 x 879 x 833 x 507 x 381 = 121778315658909
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
879 : 1, 3, 293, 879
833 : 1, 7, 17, 49, 119, 833
507 : 1, 3, 13, 39, 169, 507
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,879,833,507,381, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
879:3x 293
833:7x 7x 17
507:3x 13x 13
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 121778315658909/(1x189)
LCM = 121778315658909/189
LCM = 644329712481
Thus, we can understand that the LCM of 861,879,833,507,381 is 644329712481.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 879, 833, 507, 381?
Answer: LCM of 861, 879, 833, 507, 381 is 644329712481.
2. How to calculate the LCM of 861, 879, 833, 507, 381?
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 861, 879, 833, 507, 381.
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}.