Find the LCM of 462, 867, 860, 817, 298 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 462, 867, 860, 817, 298. So, keep reading to learn more.
Given numbers are 462,867,860,817,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,867,860,817,298 is 162535466940.
Find LCM of 462,867,860,817,298 with Prime Factorization
2 | 462, 867, 860, 817, 298 |
3 | 231, 867, 430, 817, 149 |
43 | 77, 289, 430, 817, 149 |
77, 289, 10, 19, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 77 x 289 x 10 x 19 x 149 = 162535466940
Therefore, the lowest common multiple of 462,867,860,817,298 is 162535466940.
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.
462 x 867 x 860 x 817 x 298 = 83868300941040
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
867 : 1, 3, 17, 51, 289, 867
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
817 : 1, 19, 43, 817
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,867,860,817,298, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
867:3x 17x 17
860:2x 2x 5x 43
817:19x 43
298:2x 149
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 3x 43 = 516
Therefore, the value for common factors is 516.
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 = 83868300941040/(1x516)
LCM = 83868300941040/516
LCM = 162535466940
Thus, we can understand that the LCM of 462,867,860,817,298 is 162535466940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 867, 860, 817, 298?
Answer: LCM of 462, 867, 860, 817, 298 is 162535466940.
2. How to calculate the LCM of 462, 867, 860, 817, 298?
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 462, 867, 860, 817, 298.
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}.