Find the LCM of 508, 989, 805, 661 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 508, 989, 805, 661. So, keep reading to learn more.
Given numbers are 508,989,805,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,989,805,661 is 11623301620.
Find LCM of 508,989,805,661 with Prime Factorization
23 | 508, 989, 805, 661 |
508, 43, 35, 661 |
Multiply the prime numbers at the bottom and the left side.
23 x 508 x 43 x 35 x 661 = 11623301620
Therefore, the lowest common multiple of 508,989,805,661 is 11623301620.
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.
508 x 989 x 805 x 661 = 267335937260
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.
508 : 1, 2, 4, 127, 254, 508
989 : 1, 23, 43, 989
805 : 1, 5, 7, 23, 35, 115, 161, 805
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,989,805,661, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
989:23x 43
805:5x 7x 23
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 267335937260/(1x23)
LCM = 267335937260/23
LCM = 11623301620
Thus, we can understand that the LCM of 508,989,805,661 is 11623301620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 989, 805, 661?
Answer: LCM of 508, 989, 805, 661 is 11623301620.
2. How to calculate the LCM of 508, 989, 805, 661?
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 508, 989, 805, 661.
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}.