Find the LCM of 378, 686, 861, 946, 103 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 378, 686, 861, 946, 103. So, keep reading to learn more.
Given numbers are 378,686,861,946,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,686,861,946,103 is 36997306038.
Find LCM of 378,686,861,946,103 with Prime Factorization
2 | 378, 686, 861, 946, 103 |
3 | 189, 343, 861, 473, 103 |
7 | 63, 343, 287, 473, 103 |
9, 49, 41, 473, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 9 x 49 x 41 x 473 x 103 = 36997306038
Therefore, the lowest common multiple of 378,686,861,946,103 is 36997306038.
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.
378 x 686 x 861 x 946 x 103 = 21754415950344
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
686 : 1, 2, 7, 14, 49, 98, 343, 686
861 : 1, 3, 7, 21, 41, 123, 287, 861
946 : 1, 2, 11, 22, 43, 86, 473, 946
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,686,861,946,103, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
686:2x 7x 7x 7
861:3x 7x 41
946:2x 11x 43
103:103
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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 21754415950344/(1x588)
LCM = 21754415950344/588
LCM = 36997306038
Thus, we can understand that the LCM of 378,686,861,946,103 is 36997306038.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 378, 686, 861, 946, 103?
Answer: LCM of 378, 686, 861, 946, 103 is 36997306038.
2. How to calculate the LCM of 378, 686, 861, 946, 103?
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 378, 686, 861, 946, 103.
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}.