Find the LCM of 305, 145, 812, 916 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 305, 145, 812, 916. So, keep reading to learn more.
Given numbers are 305,145,812,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,145,812,916 is 56714140.
Find LCM of 305,145,812,916 with Prime Factorization
2 | 305, 145, 812, 916 |
2 | 305, 145, 406, 458 |
5 | 305, 145, 203, 229 |
29 | 61, 29, 203, 229 |
61, 1, 7, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 61 x 1 x 7 x 229 = 56714140
Therefore, the lowest common multiple of 305,145,812,916 is 56714140.
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.
305 x 145 x 812 x 916 = 32894201200
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.
305 : 1, 5, 61, 305
145 : 1, 5, 29, 145
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,145,812,916, is 1.
Now, the common factors can be found like this.
305:5x 61
145:5x 29
812:2x 2x 7x 29
916:2x 2x 229
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 5x 29 = 580
Therefore, the value for common factors is 580.
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 = 32894201200/(1x580)
LCM = 32894201200/580
LCM = 56714140
Thus, we can understand that the LCM of 305,145,812,916 is 56714140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 145, 812, 916?
Answer: LCM of 305, 145, 812, 916 is 56714140.
2. How to calculate the LCM of 305, 145, 812, 916?
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 305, 145, 812, 916.
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}.