Find the LCM of 814, 650, 897, 926, 547 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 814, 650, 897, 926, 547. So, keep reading to learn more.
Given numbers are 814,650,897,926,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,650,897,926,547 is 4623013630950.
Find LCM of 814,650,897,926,547 with Prime Factorization
2 | 814, 650, 897, 926, 547 |
13 | 407, 325, 897, 463, 547 |
407, 25, 69, 463, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 407 x 25 x 69 x 463 x 547 = 4623013630950
Therefore, the lowest common multiple of 814,650,897,926,547 is 4623013630950.
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.
814 x 650 x 897 x 926 x 547 = 240396708809400
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
897 : 1, 3, 13, 23, 39, 69, 299, 897
926 : 1, 2, 463, 926
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,650,897,926,547, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
650:2x 5x 5x 13
897:3x 13x 23
926:2x 463
547:547
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 13 = 52
Therefore, the value for common factors is 52.
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 = 240396708809400/(1x52)
LCM = 240396708809400/52
LCM = 4623013630950
Thus, we can understand that the LCM of 814,650,897,926,547 is 4623013630950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 650, 897, 926, 547?
Answer: LCM of 814, 650, 897, 926, 547 is 4623013630950.
2. How to calculate the LCM of 814, 650, 897, 926, 547?
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 814, 650, 897, 926, 547.
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}.