LCM of 452, 121, 630, 507, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 121, 630, 507, 976 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 452, 121, 630, 507, 976. So, keep reading to learn more.
Given numbers are 452,121,630,507,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,121,630,507,976 is 710412983280.
Find LCM of 452,121,630,507,976 with Prime Factorization
| 2 | 452, 121, 630, 507, 976 |
| 2 | 226, 121, 315, 507, 488 |
| 3 | 113, 121, 315, 507, 244 |
| 113, 121, 105, 169, 244 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 121 x 105 x 169 x 244 = 710412983280
Therefore, the lowest common multiple of 452,121,630,507,976 is 710412983280.
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.
452 x 121 x 630 x 507 x 976 = 17049911598720
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.
452 : 1, 2, 4, 113, 226, 452
121 : 1, 11, 121
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
507 : 1, 3, 13, 39, 169, 507
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,121,630,507,976, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
121:11x 11
630:2x 3x 3x 5x 7
507:3x 13x 13
976:2x 2x 2x 2x 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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 17049911598720/(1x24)
LCM = 17049911598720/24
LCM = 710412983280
Thus, we can understand that the LCM of 452,121,630,507,976 is 710412983280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 452, 121, 630, 507, 976
1. What is the LCM of 452, 121, 630, 507, 976?
Answer: LCM of 452, 121, 630, 507, 976 is 710412983280.
2. How to calculate the LCM of 452, 121, 630, 507, 976?
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 452, 121, 630, 507, 976.
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}.