Find the LCM of 833, 873, 714, 351, 830 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 833, 873, 714, 351, 830. So, keep reading to learn more.
Given numbers are 833,873,714,351,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,873,714,351,830 is 23539755330.
Find LCM of 833,873,714,351,830 with Prime Factorization
2 | 833, 873, 714, 351, 830 |
3 | 833, 873, 357, 351, 415 |
3 | 833, 291, 119, 117, 415 |
7 | 833, 97, 119, 39, 415 |
17 | 17, 97, 119, 39, 415 |
1, 97, 7, 39, 415 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 17 x 1 x 97 x 7 x 39 x 415 = 23539755330
Therefore, the lowest common multiple of 833,873,714,351,830 is 23539755330.
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.
833 x 873 x 714 x 351 x 830 = 151266467750580
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.
833 : 1, 7, 17, 49, 119, 833
873 : 1, 3, 9, 97, 291, 873
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
351 : 1, 3, 9, 13, 27, 39, 117, 351
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,873,714,351,830, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
873:3x 3x 97
714:2x 3x 7x 17
351:3x 3x 3x 13
830:2x 5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 17 = 6426
Therefore, the value for common factors is 6426.
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 = 151266467750580/(1x6426)
LCM = 151266467750580/6426
LCM = 23539755330
Thus, we can understand that the LCM of 833,873,714,351,830 is 23539755330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 833, 873, 714, 351, 830?
Answer: LCM of 833, 873, 714, 351, 830 is 23539755330.
2. How to calculate the LCM of 833, 873, 714, 351, 830?
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 833, 873, 714, 351, 830.
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}.