LCM of 803, 330, 345, 490, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 330, 345, 490, 557 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 803, 330, 345, 490, 557. So, keep reading to learn more.
Given numbers are 803,330,345,490,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,330,345,490,557 is 15122232510.
Find LCM of 803,330,345,490,557 with Prime Factorization
| 2 | 803, 330, 345, 490, 557 |
| 3 | 803, 165, 345, 245, 557 |
| 5 | 803, 55, 115, 245, 557 |
| 11 | 803, 11, 23, 49, 557 |
| 73, 1, 23, 49, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 73 x 1 x 23 x 49 x 557 = 15122232510
Therefore, the lowest common multiple of 803,330,345,490,557 is 15122232510.
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.
803 x 330 x 345 x 490 x 557 = 24951683641500
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.
803 : 1, 11, 73, 803
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
345 : 1, 3, 5, 15, 23, 69, 115, 345
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,330,345,490,557, is 1.
Now, the common factors can be found like this.
803:11x 73
330:2x 3x 5x 11
345:3x 5x 23
490:2x 5x 7x 7
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 11 = 1650
Therefore, the value for common factors is 1650.
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 = 24951683641500/(1x1650)
LCM = 24951683641500/1650
LCM = 15122232510
Thus, we can understand that the LCM of 803,330,345,490,557 is 15122232510.
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FAQs on LCM of 803, 330, 345, 490, 557
1. What is the LCM of 803, 330, 345, 490, 557?
Answer: LCM of 803, 330, 345, 490, 557 is 15122232510.
2. How to calculate the LCM of 803, 330, 345, 490, 557?
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 803, 330, 345, 490, 557.
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}.