Find the LCM of 727, 748, 107, 870, 397 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 727, 748, 107, 870, 397. So, keep reading to learn more.
Given numbers are 727,748,107,870,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,748,107,870,397 is 10048460973540.
Find LCM of 727,748,107,870,397 with Prime Factorization
2 | 727, 748, 107, 870, 397 |
727, 374, 107, 435, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 727 x 374 x 107 x 435 x 397 = 10048460973540
Therefore, the lowest common multiple of 727,748,107,870,397 is 10048460973540.
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.
727 x 748 x 107 x 870 x 397 = 20096921947080
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.
727 : 1, 727
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
107 : 1, 107
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,748,107,870,397, is 1.
Now, the common factors can be found like this.
727:727
748:2x 2x 11x 17
107:107
870:2x 3x 5x 29
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 20096921947080/(1x2)
LCM = 20096921947080/2
LCM = 10048460973540
Thus, we can understand that the LCM of 727,748,107,870,397 is 10048460973540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 727, 748, 107, 870, 397?
Answer: LCM of 727, 748, 107, 870, 397 is 10048460973540.
2. How to calculate the LCM of 727, 748, 107, 870, 397?
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 727, 748, 107, 870, 397.
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}.