Find the LCM of 667, 749, 227, 522, 835 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 667, 749, 227, 522, 835. So, keep reading to learn more.
Given numbers are 667,749,227,522,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,749,227,522,835 is 1704482275230.
Find LCM of 667,749,227,522,835 with Prime Factorization
29 | 667, 749, 227, 522, 835 |
23, 749, 227, 18, 835 |
Multiply the prime numbers at the bottom and the left side.
29 x 23 x 749 x 227 x 18 x 835 = 1704482275230
Therefore, the lowest common multiple of 667,749,227,522,835 is 1704482275230.
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.
667 x 749 x 227 x 522 x 835 = 49429985981670
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.
667 : 1, 23, 29, 667
749 : 1, 7, 107, 749
227 : 1, 227
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,749,227,522,835, is 1.
Now, the common factors can be found like this.
667:23x 29
749:7x 107
227:227
522:2x 3x 3x 29
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 49429985981670/(1x29)
LCM = 49429985981670/29
LCM = 1704482275230
Thus, we can understand that the LCM of 667,749,227,522,835 is 1704482275230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 749, 227, 522, 835?
Answer: LCM of 667, 749, 227, 522, 835 is 1704482275230.
2. How to calculate the LCM of 667, 749, 227, 522, 835?
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 667, 749, 227, 522, 835.
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}.