Find the LCM of 808, 989, 274, 959 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 808, 989, 274, 959. So, keep reading to learn more.
Given numbers are 808,989,274,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,989,274,959 is 766348408.
Find LCM of 808,989,274,959 with Prime Factorization
2 | 808, 989, 274, 959 |
137 | 404, 989, 137, 959 |
404, 989, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 404 x 989 x 1 x 7 = 766348408
Therefore, the lowest common multiple of 808,989,274,959 is 766348408.
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.
808 x 989 x 274 x 959 = 209979463792
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
989 : 1, 23, 43, 989
274 : 1, 2, 137, 274
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,989,274,959, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
989:23x 43
274:2x 137
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 137 = 274
Therefore, the value for common factors is 274.
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 = 209979463792/(1x274)
LCM = 209979463792/274
LCM = 766348408
Thus, we can understand that the LCM of 808,989,274,959 is 766348408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 989, 274, 959?
Answer: LCM of 808, 989, 274, 959 is 766348408.
2. How to calculate the LCM of 808, 989, 274, 959?
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 808, 989, 274, 959.
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}.