Find the LCM of 962, 418, 247, 856, 557 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, 418, 247, 856, 557. So, keep reading to learn more.
Given numbers are 962,418,247,856,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,418,247,856,557 is 47931422968.
Find LCM of 962,418,247,856,557 with Prime Factorization
2 | 962, 418, 247, 856, 557 |
13 | 481, 209, 247, 428, 557 |
19 | 37, 209, 19, 428, 557 |
37, 11, 1, 428, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 37 x 11 x 1 x 428 x 557 = 47931422968
Therefore, the lowest common multiple of 962,418,247,856,557 is 47931422968.
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 418 x 247 x 856 x 557 = 47356245892384
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
247 : 1, 13, 19, 247
856 : 1, 2, 4, 8, 107, 214, 428, 856
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,418,247,856,557, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
418:2x 11x 19
247:13x 19
856:2x 2x 2x 107
557:557
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 47356245892384/(1x988)
LCM = 47356245892384/988
LCM = 47931422968
Thus, we can understand that the LCM of 962,418,247,856,557 is 47931422968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 418, 247, 856, 557?
Answer: LCM of 962, 418, 247, 856, 557 is 47931422968.
2. How to calculate the LCM of 962, 418, 247, 856, 557?
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, 418, 247, 856, 557.
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}.