Find the LCM of 893, 598, 691, 923, 230 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 893, 598, 691, 923, 230. So, keep reading to learn more.
Given numbers are 893,598,691,923,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,598,691,923,230 is 130996304270.
Find LCM of 893,598,691,923,230 with Prime Factorization
2 | 893, 598, 691, 923, 230 |
13 | 893, 299, 691, 923, 115 |
23 | 893, 23, 691, 71, 115 |
893, 1, 691, 71, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 893 x 1 x 691 x 71 x 5 = 130996304270
Therefore, the lowest common multiple of 893,598,691,923,230 is 130996304270.
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.
893 x 598 x 691 x 923 x 230 = 78335789953460
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.
893 : 1, 19, 47, 893
598 : 1, 2, 13, 23, 26, 46, 299, 598
691 : 1, 691
923 : 1, 13, 71, 923
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,598,691,923,230, is 1.
Now, the common factors can be found like this.
893:19x 47
598:2x 13x 23
691:691
923:13x 71
230:2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 78335789953460/(1x598)
LCM = 78335789953460/598
LCM = 130996304270
Thus, we can understand that the LCM of 893,598,691,923,230 is 130996304270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 598, 691, 923, 230?
Answer: LCM of 893, 598, 691, 923, 230 is 130996304270.
2. How to calculate the LCM of 893, 598, 691, 923, 230?
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 893, 598, 691, 923, 230.
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}.