Find the LCM of 772, 149, 338, 697, 907 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 772, 149, 338, 697, 907. So, keep reading to learn more.
Given numbers are 772,149,338,697,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,149,338,697,907 is 12289390336028.
Find LCM of 772,149,338,697,907 with Prime Factorization
2 | 772, 149, 338, 697, 907 |
386, 149, 169, 697, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 386 x 149 x 169 x 697 x 907 = 12289390336028
Therefore, the lowest common multiple of 772,149,338,697,907 is 12289390336028.
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.
772 x 149 x 338 x 697 x 907 = 24578780672056
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.
772 : 1, 2, 4, 193, 386, 772
149 : 1, 149
338 : 1, 2, 13, 26, 169, 338
697 : 1, 17, 41, 697
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,149,338,697,907, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
149:149
338:2x 13x 13
697:17x 41
907:907
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 24578780672056/(1x2)
LCM = 24578780672056/2
LCM = 12289390336028
Thus, we can understand that the LCM of 772,149,338,697,907 is 12289390336028.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 149, 338, 697, 907?
Answer: LCM of 772, 149, 338, 697, 907 is 12289390336028.
2. How to calculate the LCM of 772, 149, 338, 697, 907?
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 772, 149, 338, 697, 907.
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}.