Find the LCM of 847, 964, 962, 528, 418 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 847, 964, 962, 528, 418. So, keep reading to learn more.
Given numbers are 847,964,962,528,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,964,962,528,418 is 89544799344.
Find LCM of 847,964,962,528,418 with Prime Factorization
2 | 847, 964, 962, 528, 418 |
2 | 847, 482, 481, 264, 209 |
11 | 847, 241, 481, 132, 209 |
77, 241, 481, 12, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 77 x 241 x 481 x 12 x 19 = 89544799344
Therefore, the lowest common multiple of 847,964,962,528,418 is 89544799344.
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.
847 x 964 x 962 x 528 x 418 = 173358731529984
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.
847 : 1, 7, 11, 77, 121, 847
964 : 1, 2, 4, 241, 482, 964
962 : 1, 2, 13, 26, 37, 74, 481, 962
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,964,962,528,418, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
964:2x 2x 241
962:2x 13x 37
528:2x 2x 2x 2x 3x 11
418:2x 11x 19
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 11 = 1936
Therefore, the value for common factors is 1936.
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 = 173358731529984/(1x1936)
LCM = 173358731529984/1936
LCM = 89544799344
Thus, we can understand that the LCM of 847,964,962,528,418 is 89544799344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 964, 962, 528, 418?
Answer: LCM of 847, 964, 962, 528, 418 is 89544799344.
2. How to calculate the LCM of 847, 964, 962, 528, 418?
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 847, 964, 962, 528, 418.
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}.