LCM of 451, 820, 746, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 820, 746, 484 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 451, 820, 746, 484. So, keep reading to learn more.
Given numbers are 451,820,746,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,820,746,484 is 37009060.
Find LCM of 451,820,746,484 with Prime Factorization
| 2 | 451, 820, 746, 484 |
| 2 | 451, 410, 373, 242 |
| 11 | 451, 205, 373, 121 |
| 41 | 41, 205, 373, 11 |
| 1, 5, 373, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 41 x 1 x 5 x 373 x 11 = 37009060
Therefore, the lowest common multiple of 451,820,746,484 is 37009060.
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.
451 x 820 x 746 x 484 = 133528688480
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.
451 : 1, 11, 41, 451
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
746 : 1, 2, 373, 746
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,820,746,484, is 1.
Now, the common factors can be found like this.
451:11x 41
820:2x 2x 5x 41
746:2x 373
484:2x 2x 11x 11
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 11x 41 = 3608
Therefore, the value for common factors is 3608.
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 = 133528688480/(1x3608)
LCM = 133528688480/3608
LCM = 37009060
Thus, we can understand that the LCM of 451,820,746,484 is 37009060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 820, 746, 484
1. What is the LCM of 451, 820, 746, 484?
Answer: LCM of 451, 820, 746, 484 is 37009060.
2. How to calculate the LCM of 451, 820, 746, 484?
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 451, 820, 746, 484.
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}.