LCM of 361, 484, 979, 900, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 484, 979, 900, 535 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 361, 484, 979, 900, 535. So, keep reading to learn more.
Given numbers are 361,484,979,900,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,484,979,900,535 is 374376746700.
Find LCM of 361,484,979,900,535 with Prime Factorization
| 2 | 361, 484, 979, 900, 535 |
| 2 | 361, 242, 979, 450, 535 |
| 5 | 361, 121, 979, 225, 535 |
| 11 | 361, 121, 979, 45, 107 |
| 361, 11, 89, 45, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 361 x 11 x 89 x 45 x 107 = 374376746700
Therefore, the lowest common multiple of 361,484,979,900,535 is 374376746700.
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.
361 x 484 x 979 x 900 x 535 = 82362884274000
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.
361 : 1, 19, 361
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
979 : 1, 11, 89, 979
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,484,979,900,535, is 1.
Now, the common factors can be found like this.
361:19x 19
484:2x 2x 11x 11
979:11x 89
900:2x 2x 3x 3x 5x 5
535:5x 107
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 82362884274000/(1x220)
LCM = 82362884274000/220
LCM = 374376746700
Thus, we can understand that the LCM of 361,484,979,900,535 is 374376746700.
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FAQs on LCM of 361, 484, 979, 900, 535
1. What is the LCM of 361, 484, 979, 900, 535?
Answer: LCM of 361, 484, 979, 900, 535 is 374376746700.
2. How to calculate the LCM of 361, 484, 979, 900, 535?
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 361, 484, 979, 900, 535.
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}.