Find the LCM of 418, 524, 962, 209, 712 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 418, 524, 962, 209, 712. So, keep reading to learn more.
Given numbers are 418,524,962,209,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,524,962,209,712 is 9376540888.
Find LCM of 418,524,962,209,712 with Prime Factorization
2 | 418, 524, 962, 209, 712 |
2 | 209, 262, 481, 209, 356 |
11 | 209, 131, 481, 209, 178 |
19 | 19, 131, 481, 19, 178 |
1, 131, 481, 1, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 1 x 131 x 481 x 1 x 178 = 9376540888
Therefore, the lowest common multiple of 418,524,962,209,712 is 9376540888.
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.
418 x 524 x 962 x 209 x 712 = 31355152729472
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
524 : 1, 2, 4, 131, 262, 524
962 : 1, 2, 13, 26, 37, 74, 481, 962
209 : 1, 11, 19, 209
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,524,962,209,712, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
524:2x 2x 131
962:2x 13x 37
209:11x 19
712:2x 2x 2x 89
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 2x 2x 11x 19 = 3344
Therefore, the value for common factors is 3344.
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 = 31355152729472/(1x3344)
LCM = 31355152729472/3344
LCM = 9376540888
Thus, we can understand that the LCM of 418,524,962,209,712 is 9376540888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 524, 962, 209, 712?
Answer: LCM of 418, 524, 962, 209, 712 is 9376540888.
2. How to calculate the LCM of 418, 524, 962, 209, 712?
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 418, 524, 962, 209, 712.
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}.