Find the LCM of 845, 637, 776, 980 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 845, 637, 776, 980. So, keep reading to learn more.
Given numbers are 845,637,776,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,637,776,980 is 32130280.
Find LCM of 845,637,776,980 with Prime Factorization
2 | 845, 637, 776, 980 |
2 | 845, 637, 388, 490 |
5 | 845, 637, 194, 245 |
7 | 169, 637, 194, 49 |
7 | 169, 91, 194, 7 |
13 | 169, 13, 194, 1 |
1, 13, 194, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 13 x 1 x 13 x 194 x 1 = 32130280
Therefore, the lowest common multiple of 845,637,776,980 is 32130280.
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.
845 x 637 x 776 x 980 = 409339767200
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.
845 : 1, 5, 13, 65, 169, 845
637 : 1, 7, 13, 49, 91, 637
776 : 1, 2, 4, 8, 97, 194, 388, 776
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,637,776,980, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
637:7x 7x 13
776:2x 2x 2x 97
980:2x 2x 5x 7x 7
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 7x 7x 13 = 12740
Therefore, the value for common factors is 12740.
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 = 409339767200/(1x12740)
LCM = 409339767200/12740
LCM = 32130280
Thus, we can understand that the LCM of 845,637,776,980 is 32130280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 637, 776, 980?
Answer: LCM of 845, 637, 776, 980 is 32130280.
2. How to calculate the LCM of 845, 637, 776, 980?
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 845, 637, 776, 980.
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}.