Find the LCM of 676, 946, 835, 220, 411 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 676, 946, 835, 220, 411. So, keep reading to learn more.
Given numbers are 676,946,835,220,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,946,835,220,411 is 109732717380.
Find LCM of 676,946,835,220,411 with Prime Factorization
2 | 676, 946, 835, 220, 411 |
2 | 338, 473, 835, 110, 411 |
5 | 169, 473, 835, 55, 411 |
11 | 169, 473, 167, 11, 411 |
169, 43, 167, 1, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 169 x 43 x 167 x 1 x 411 = 109732717380
Therefore, the lowest common multiple of 676,946,835,220,411 is 109732717380.
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.
676 x 946 x 835 x 220 x 411 = 48282395647200
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
946 : 1, 2, 11, 22, 43, 86, 473, 946
835 : 1, 5, 167, 835
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,946,835,220,411, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
946:2x 11x 43
835:5x 167
220:2x 2x 5x 11
411:3x 137
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 48282395647200/(1x440)
LCM = 48282395647200/440
LCM = 109732717380
Thus, we can understand that the LCM of 676,946,835,220,411 is 109732717380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 946, 835, 220, 411?
Answer: LCM of 676, 946, 835, 220, 411 is 109732717380.
2. How to calculate the LCM of 676, 946, 835, 220, 411?
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 676, 946, 835, 220, 411.
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}.