LCM of 962, 806, 877, 806, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 806, 877, 806, 302 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 962, 806, 877, 806, 302. So, keep reading to learn more.
Given numbers are 962,806,877,806,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,806,877,806,302 is 3949237994.
Find LCM of 962,806,877,806,302 with Prime Factorization
| 2 | 962, 806, 877, 806, 302 |
| 13 | 481, 403, 877, 403, 151 |
| 31 | 37, 31, 877, 31, 151 |
| 37, 1, 877, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 31 x 37 x 1 x 877 x 1 x 151 = 3949237994
Therefore, the lowest common multiple of 962,806,877,806,302 is 3949237994.
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.
962 x 806 x 877 x 806 x 302 = 165520462804528
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
806 : 1, 2, 13, 26, 31, 62, 403, 806
877 : 1, 877
806 : 1, 2, 13, 26, 31, 62, 403, 806
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,806,877,806,302, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
806:2x 13x 31
877:877
806:2x 13x 31
302:2x 151
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 13x 13x 31 = 41912
Therefore, the value for common factors is 41912.
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 = 165520462804528/(1x41912)
LCM = 165520462804528/41912
LCM = 3949237994
Thus, we can understand that the LCM of 962,806,877,806,302 is 3949237994.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 962, 806, 877, 806, 302
1. What is the LCM of 962, 806, 877, 806, 302?
Answer: LCM of 962, 806, 877, 806, 302 is 3949237994.
2. How to calculate the LCM of 962, 806, 877, 806, 302?
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 962, 806, 877, 806, 302.
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}.