Find the LCM of 676, 161, 970, 610, 394 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, 161, 970, 610, 394. So, keep reading to learn more.
Given numbers are 676,161,970,610,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,161,970,610,394 is 634322872820.
Find LCM of 676,161,970,610,394 with Prime Factorization
2 | 676, 161, 970, 610, 394 |
5 | 338, 161, 485, 305, 197 |
338, 161, 97, 61, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 338 x 161 x 97 x 61 x 197 = 634322872820
Therefore, the lowest common multiple of 676,161,970,610,394 is 634322872820.
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 161 x 970 x 610 x 394 = 25372914912800
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
161 : 1, 7, 23, 161
970 : 1, 2, 5, 10, 97, 194, 485, 970
610 : 1, 2, 5, 10, 61, 122, 305, 610
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,161,970,610,394, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
161:7x 23
970:2x 5x 97
610:2x 5x 61
394:2x 197
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 5 = 40
Therefore, the value for common factors is 40.
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 = 25372914912800/(1x40)
LCM = 25372914912800/40
LCM = 634322872820
Thus, we can understand that the LCM of 676,161,970,610,394 is 634322872820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 161, 970, 610, 394?
Answer: LCM of 676, 161, 970, 610, 394 is 634322872820.
2. How to calculate the LCM of 676, 161, 970, 610, 394?
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, 161, 970, 610, 394.
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}.