Find the LCM of 397, 865, 470, 855, 901 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 397, 865, 470, 855, 901. So, keep reading to learn more.
Given numbers are 397,865,470,855,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,865,470,855,901 is 4973422664970.
Find LCM of 397,865,470,855,901 with Prime Factorization
5 | 397, 865, 470, 855, 901 |
397, 173, 94, 171, 901 |
Multiply the prime numbers at the bottom and the left side.
5 x 397 x 173 x 94 x 171 x 901 = 4973422664970
Therefore, the lowest common multiple of 397,865,470,855,901 is 4973422664970.
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.
397 x 865 x 470 x 855 x 901 = 124335566624250
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.
397 : 1, 397
865 : 1, 5, 173, 865
470 : 1, 2, 5, 10, 47, 94, 235, 470
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,865,470,855,901, is 1.
Now, the common factors can be found like this.
397:397
865:5x 173
470:2x 5x 47
855:3x 3x 5x 19
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 124335566624250/(1x25)
LCM = 124335566624250/25
LCM = 4973422664970
Thus, we can understand that the LCM of 397,865,470,855,901 is 4973422664970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 865, 470, 855, 901?
Answer: LCM of 397, 865, 470, 855, 901 is 4973422664970.
2. How to calculate the LCM of 397, 865, 470, 855, 901?
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 397, 865, 470, 855, 901.
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}.