LCM of 636, 183, 965, 760, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 183, 965, 760, 183 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 636, 183, 965, 760, 183. So, keep reading to learn more.
Given numbers are 636,183,965,760,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,183,965,760,183 is 1422649320.
Find LCM of 636,183,965,760,183 with Prime Factorization
| 2 | 636, 183, 965, 760, 183 |
| 2 | 318, 183, 965, 380, 183 |
| 3 | 159, 183, 965, 190, 183 |
| 5 | 53, 61, 965, 190, 61 |
| 61 | 53, 61, 193, 38, 61 |
| 53, 1, 193, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 53 x 1 x 193 x 38 x 1 = 1422649320
Therefore, the lowest common multiple of 636,183,965,760,183 is 1422649320.
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.
636 x 183 x 965 x 760 x 183 = 15620689533600
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
183 : 1, 3, 61, 183
965 : 1, 5, 193, 965
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,183,965,760,183, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
183:3x 61
965:5x 193
760:2x 2x 2x 5x 19
183:3x 61
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 3x 3x 5x 61 = 10980
Therefore, the value for common factors is 10980.
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 = 15620689533600/(1x10980)
LCM = 15620689533600/10980
LCM = 1422649320
Thus, we can understand that the LCM of 636,183,965,760,183 is 1422649320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 636, 183, 965, 760, 183
1. What is the LCM of 636, 183, 965, 760, 183?
Answer: LCM of 636, 183, 965, 760, 183 is 1422649320.
2. How to calculate the LCM of 636, 183, 965, 760, 183?
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 636, 183, 965, 760, 183.
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}.