LCM of 703, 538, 877, 962, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 538, 877, 962, 806 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 703, 538, 877, 962, 806. So, keep reading to learn more.
Given numbers are 703,538,877,962,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,538,877,962,806 is 133672552234.
Find LCM of 703,538,877,962,806 with Prime Factorization
| 2 | 703, 538, 877, 962, 806 |
| 13 | 703, 269, 877, 481, 403 |
| 37 | 703, 269, 877, 37, 31 |
| 19, 269, 877, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 19 x 269 x 877 x 1 x 31 = 133672552234
Therefore, the lowest common multiple of 703,538,877,962,806 is 133672552234.
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.
703 x 538 x 877 x 962 x 806 = 257185990498216
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.
703 : 1, 19, 37, 703
538 : 1, 2, 269, 538
877 : 1, 877
962 : 1, 2, 13, 26, 37, 74, 481, 962
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,538,877,962,806, is 1.
Now, the common factors can be found like this.
703:19x 37
538:2x 269
877:877
962:2x 13x 37
806:2x 13x 31
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 13x 37 = 1924
Therefore, the value for common factors is 1924.
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 = 257185990498216/(1x1924)
LCM = 257185990498216/1924
LCM = 133672552234
Thus, we can understand that the LCM of 703,538,877,962,806 is 133672552234.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 703, 538, 877, 962, 806
1. What is the LCM of 703, 538, 877, 962, 806?
Answer: LCM of 703, 538, 877, 962, 806 is 133672552234.
2. How to calculate the LCM of 703, 538, 877, 962, 806?
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 703, 538, 877, 962, 806.
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}.