Find the LCM of 969, 299, 831, 555, 234 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 969, 299, 831, 555, 234. So, keep reading to learn more.
Given numbers are 969,299,831,555,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,299,831,555,234 is 89083590570.
Find LCM of 969,299,831,555,234 with Prime Factorization
3 | 969, 299, 831, 555, 234 |
13 | 323, 299, 277, 185, 78 |
323, 23, 277, 185, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 323 x 23 x 277 x 185 x 6 = 89083590570
Therefore, the lowest common multiple of 969,299,831,555,234 is 89083590570.
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.
969 x 299 x 831 x 555 x 234 = 31268340290070
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
299 : 1, 13, 23, 299
831 : 1, 3, 277, 831
555 : 1, 3, 5, 15, 37, 111, 185, 555
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,299,831,555,234, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
299:13x 23
831:3x 277
555:3x 5x 37
234:2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 31268340290070/(1x351)
LCM = 31268340290070/351
LCM = 89083590570
Thus, we can understand that the LCM of 969,299,831,555,234 is 89083590570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 299, 831, 555, 234?
Answer: LCM of 969, 299, 831, 555, 234 is 89083590570.
2. How to calculate the LCM of 969, 299, 831, 555, 234?
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 969, 299, 831, 555, 234.
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}.