Find the LCM of 962, 826, 514, 267, 229 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, 826, 514, 267, 229. So, keep reading to learn more.
Given numbers are 962,826,514,267,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,826,514,267,229 is 6243167554806.
Find LCM of 962,826,514,267,229 with Prime Factorization
2 | 962, 826, 514, 267, 229 |
481, 413, 257, 267, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 481 x 413 x 257 x 267 x 229 = 6243167554806
Therefore, the lowest common multiple of 962,826,514,267,229 is 6243167554806.
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 826 x 514 x 267 x 229 = 24972670219224
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
826 : 1, 2, 7, 14, 59, 118, 413, 826
514 : 1, 2, 257, 514
267 : 1, 3, 89, 267
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,826,514,267,229, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
826:2x 7x 59
514:2x 257
267:3x 89
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 24972670219224/(1x4)
LCM = 24972670219224/4
LCM = 6243167554806
Thus, we can understand that the LCM of 962,826,514,267,229 is 6243167554806.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 826, 514, 267, 229?
Answer: LCM of 962, 826, 514, 267, 229 is 6243167554806.
2. How to calculate the LCM of 962, 826, 514, 267, 229?
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, 826, 514, 267, 229.
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}.