Find the LCM of 905, 470, 493, 986, 972 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 905, 470, 493, 986, 972. So, keep reading to learn more.
Given numbers are 905,470,493,986,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,470,493,986,972 is 20382601860.
Find LCM of 905,470,493,986,972 with Prime Factorization
2 | 905, 470, 493, 986, 972 |
5 | 905, 235, 493, 493, 486 |
17 | 181, 47, 493, 493, 486 |
29 | 181, 47, 29, 29, 486 |
181, 47, 1, 1, 486 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 29 x 181 x 47 x 1 x 1 x 486 = 20382601860
Therefore, the lowest common multiple of 905,470,493,986,972 is 20382601860.
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.
905 x 470 x 493 x 986 x 972 = 200972454339600
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.
905 : 1, 5, 181, 905
470 : 1, 2, 5, 10, 47, 94, 235, 470
493 : 1, 17, 29, 493
986 : 1, 2, 17, 29, 34, 58, 493, 986
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,470,493,986,972, is 1.
Now, the common factors can be found like this.
905:5x 181
470:2x 5x 47
493:17x 29
986:2x 17x 29
972:2x 2x 3x 3x 3x 3x 3
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 5x 17x 29 = 9860
Therefore, the value for common factors is 9860.
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 = 200972454339600/(1x9860)
LCM = 200972454339600/9860
LCM = 20382601860
Thus, we can understand that the LCM of 905,470,493,986,972 is 20382601860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 470, 493, 986, 972?
Answer: LCM of 905, 470, 493, 986, 972 is 20382601860.
2. How to calculate the LCM of 905, 470, 493, 986, 972?
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 905, 470, 493, 986, 972.
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}.