Find the LCM of 962, 238, 666, 397 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 962, 238, 666, 397. So, keep reading to learn more.
Given numbers are 962,238,666,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,238,666,397 is 409029894.
Find LCM of 962,238,666,397 with Prime Factorization
2 | 962, 238, 666, 397 |
37 | 481, 119, 333, 397 |
13, 119, 9, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 13 x 119 x 9 x 397 = 409029894
Therefore, the lowest common multiple of 962,238,666,397 is 409029894.
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.
962 x 238 x 666 x 397 = 60536424312
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
238 : 1, 2, 7, 14, 17, 34, 119, 238
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,238,666,397, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
238:2x 7x 17
666:2x 3x 3x 37
397:397
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 37 = 148
Therefore, the value for common factors is 148.
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 = 60536424312/(1x148)
LCM = 60536424312/148
LCM = 409029894
Thus, we can understand that the LCM of 962,238,666,397 is 409029894.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 238, 666, 397?
Answer: LCM of 962, 238, 666, 397 is 409029894.
2. How to calculate the LCM of 962, 238, 666, 397?
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 962, 238, 666, 397.
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}.