LCM of 745, 481, 611, 671, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 481, 611, 671, 854 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 745, 481, 611, 671, 854. So, keep reading to learn more.
Given numbers are 745,481,611,671,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,481,611,671,854 is 158215767710.
Find LCM of 745,481,611,671,854 with Prime Factorization
| 13 | 745, 481, 611, 671, 854 |
| 61 | 745, 37, 47, 671, 854 |
| 745, 37, 47, 11, 14 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 745 x 37 x 47 x 11 x 14 = 158215767710
Therefore, the lowest common multiple of 745,481,611,671,854 is 158215767710.
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.
745 x 481 x 611 x 671 x 854 = 125465103794030
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.
745 : 1, 5, 149, 745
481 : 1, 13, 37, 481
611 : 1, 13, 47, 611
671 : 1, 11, 61, 671
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,481,611,671,854, is 1.
Now, the common factors can be found like this.
745:5x 149
481:13x 37
611:13x 47
671:11x 61
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 61 = 793
Therefore, the value for common factors is 793.
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 = 125465103794030/(1x793)
LCM = 125465103794030/793
LCM = 158215767710
Thus, we can understand that the LCM of 745,481,611,671,854 is 158215767710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 745, 481, 611, 671, 854
1. What is the LCM of 745, 481, 611, 671, 854?
Answer: LCM of 745, 481, 611, 671, 854 is 158215767710.
2. How to calculate the LCM of 745, 481, 611, 671, 854?
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 745, 481, 611, 671, 854.
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}.