Find the LCM of 670, 849, 702, 958, 874 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 670, 849, 702, 958, 874. So, keep reading to learn more.
Given numbers are 670,849,702,958,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,849,702,958,874 is 13931096644530.
Find LCM of 670,849,702,958,874 with Prime Factorization
2 | 670, 849, 702, 958, 874 |
3 | 335, 849, 351, 479, 437 |
335, 283, 117, 479, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 335 x 283 x 117 x 479 x 437 = 13931096644530
Therefore, the lowest common multiple of 670,849,702,958,874 is 13931096644530.
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.
670 x 849 x 702 x 958 x 874 = 334346319468720
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
849 : 1, 3, 283, 849
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
958 : 1, 2, 479, 958
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,849,702,958,874, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
849:3x 283
702:2x 3x 3x 3x 13
958:2x 479
874:2x 19x 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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 334346319468720/(1x24)
LCM = 334346319468720/24
LCM = 13931096644530
Thus, we can understand that the LCM of 670,849,702,958,874 is 13931096644530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 849, 702, 958, 874?
Answer: LCM of 670, 849, 702, 958, 874 is 13931096644530.
2. How to calculate the LCM of 670, 849, 702, 958, 874?
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 670, 849, 702, 958, 874.
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}.