Find the LCM of 892, 662, 517, 662 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 892, 662, 517, 662. So, keep reading to learn more.
Given numbers are 892,662,517,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,662,517,662 is 152645284.
Find LCM of 892,662,517,662 with Prime Factorization
2 | 892, 662, 517, 662 |
331 | 446, 331, 517, 331 |
446, 1, 517, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 331 x 446 x 1 x 517 x 1 = 152645284
Therefore, the lowest common multiple of 892,662,517,662 is 152645284.
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.
892 x 662 x 517 x 662 = 202102356016
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.
892 : 1, 2, 4, 223, 446, 892
662 : 1, 2, 331, 662
517 : 1, 11, 47, 517
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,662,517,662, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
662:2x 331
517:11x 47
662:2x 331
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 331 = 1324
Therefore, the value for common factors is 1324.
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 = 202102356016/(1x1324)
LCM = 202102356016/1324
LCM = 152645284
Thus, we can understand that the LCM of 892,662,517,662 is 152645284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 662, 517, 662?
Answer: LCM of 892, 662, 517, 662 is 152645284.
2. How to calculate the LCM of 892, 662, 517, 662?
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 892, 662, 517, 662.
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}.