LCM of 802, 195, 198, 605, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 195, 198, 605, 689 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 802, 195, 198, 605, 689. So, keep reading to learn more.
Given numbers are 802,195,198,605,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,195,198,605,689 is 3008787210.
Find LCM of 802,195,198,605,689 with Prime Factorization
| 2 | 802, 195, 198, 605, 689 |
| 3 | 401, 195, 99, 605, 689 |
| 5 | 401, 65, 33, 605, 689 |
| 11 | 401, 13, 33, 121, 689 |
| 13 | 401, 13, 3, 11, 689 |
| 401, 1, 3, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 401 x 1 x 3 x 11 x 53 = 3008787210
Therefore, the lowest common multiple of 802,195,198,605,689 is 3008787210.
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.
802 x 195 x 198 x 605 x 689 = 12907697130900
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.
802 : 1, 2, 401, 802
195 : 1, 3, 5, 13, 15, 39, 65, 195
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
605 : 1, 5, 11, 55, 121, 605
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,195,198,605,689, is 1.
Now, the common factors can be found like this.
802:2x 401
195:3x 5x 13
198:2x 3x 3x 11
605:5x 11x 11
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 13 = 4290
Therefore, the value for common factors is 4290.
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 = 12907697130900/(1x4290)
LCM = 12907697130900/4290
LCM = 3008787210
Thus, we can understand that the LCM of 802,195,198,605,689 is 3008787210.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 802, 195, 198, 605, 689
1. What is the LCM of 802, 195, 198, 605, 689?
Answer: LCM of 802, 195, 198, 605, 689 is 3008787210.
2. How to calculate the LCM of 802, 195, 198, 605, 689?
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 802, 195, 198, 605, 689.
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}.