Find the LCM of 687, 576, 414, 958 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 687, 576, 414, 958. So, keep reading to learn more.
Given numbers are 687,576,414,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,576,414,958 is 1453186368.
Find LCM of 687,576,414,958 with Prime Factorization
2 | 687, 576, 414, 958 |
3 | 687, 288, 207, 479 |
3 | 229, 96, 69, 479 |
229, 32, 23, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 229 x 32 x 23 x 479 = 1453186368
Therefore, the lowest common multiple of 687,576,414,958 is 1453186368.
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.
687 x 576 x 414 x 958 = 156944127744
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.
687 : 1, 3, 229, 687
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,576,414,958, is 1.
Now, the common factors can be found like this.
687:3x 229
576:2x 2x 2x 2x 2x 2x 3x 3
414:2x 3x 3x 23
958:2x 479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 156944127744/(1x108)
LCM = 156944127744/108
LCM = 1453186368
Thus, we can understand that the LCM of 687,576,414,958 is 1453186368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 576, 414, 958?
Answer: LCM of 687, 576, 414, 958 is 1453186368.
2. How to calculate the LCM of 687, 576, 414, 958?
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 687, 576, 414, 958.
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}.