Find the LCM of 689, 852, 611, 261 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 689, 852, 611, 261. So, keep reading to learn more.
Given numbers are 689,852,611,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,852,611,261 is 2400357492.
Find LCM of 689,852,611,261 with Prime Factorization
3 | 689, 852, 611, 261 |
13 | 689, 284, 611, 87 |
53, 284, 47, 87 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 53 x 284 x 47 x 87 = 2400357492
Therefore, the lowest common multiple of 689,852,611,261 is 2400357492.
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.
689 x 852 x 611 x 261 = 93613942188
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.
689 : 1, 13, 53, 689
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
611 : 1, 13, 47, 611
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,852,611,261, is 1.
Now, the common factors can be found like this.
689:13x 53
852:2x 2x 3x 71
611:13x 47
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 93613942188/(1x39)
LCM = 93613942188/39
LCM = 2400357492
Thus, we can understand that the LCM of 689,852,611,261 is 2400357492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 852, 611, 261?
Answer: LCM of 689, 852, 611, 261 is 2400357492.
2. How to calculate the LCM of 689, 852, 611, 261?
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 689, 852, 611, 261.
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}.