LCM of 484, 493, 290, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 493, 290, 805 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 484, 493, 290, 805. So, keep reading to learn more.
Given numbers are 484,493,290,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,493,290,805 is 192082660.
Find LCM of 484,493,290,805 with Prime Factorization
| 2 | 484, 493, 290, 805 |
| 5 | 242, 493, 145, 805 |
| 29 | 242, 493, 29, 161 |
| 242, 17, 1, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 242 x 17 x 1 x 161 = 192082660
Therefore, the lowest common multiple of 484,493,290,805 is 192082660.
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.
484 x 493 x 290 x 805 = 55703971400
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
493 : 1, 17, 29, 493
290 : 1, 2, 5, 10, 29, 58, 145, 290
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,493,290,805, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
493:17x 29
290:2x 5x 29
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 29 = 290
Therefore, the value for common factors is 290.
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 = 55703971400/(1x290)
LCM = 55703971400/290
LCM = 192082660
Thus, we can understand that the LCM of 484,493,290,805 is 192082660.
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FAQs on LCM of 484, 493, 290, 805
1. What is the LCM of 484, 493, 290, 805?
Answer: LCM of 484, 493, 290, 805 is 192082660.
2. How to calculate the LCM of 484, 493, 290, 805?
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 484, 493, 290, 805.
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}.