LCM of 550, 816, 240, 829, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 550, 816, 240, 829, 660 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 550, 816, 240, 829, 660. So, keep reading to learn more.
Given numbers are 550,816,240,829,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,816,240,829,660 is 186027600.
Find LCM of 550,816,240,829,660 with Prime Factorization
| 2 | 550, 816, 240, 829, 660 |
| 2 | 275, 408, 120, 829, 330 |
| 2 | 275, 204, 60, 829, 165 |
| 2 | 275, 102, 30, 829, 165 |
| 3 | 275, 51, 15, 829, 165 |
| 5 | 275, 17, 5, 829, 55 |
| 11 | 11, 17, 1, 829, 55 |
| 1, 17, 1, 829, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 17 x 1 x 829 x 5 = 186027600
Therefore, the lowest common multiple of 550,816,240,829,660 is 186027600.
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.
550 x 816 x 240 x 829 x 660 = 58933543680000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
829 : 1, 829
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,816,240,829,660, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
816:2x 2x 2x 2x 3x 17
240:2x 2x 2x 2x 3x 5
829:829
660:2x 2x 3x 5x 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 2x 2x 2x 2x 3x 3x 5x 5x 11 = 316800
Therefore, the value for common factors is 316800.
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 = 58933543680000/(1x316800)
LCM = 58933543680000/316800
LCM = 186027600
Thus, we can understand that the LCM of 550,816,240,829,660 is 186027600.
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FAQs on LCM of 550, 816, 240, 829, 660
1. What is the LCM of 550, 816, 240, 829, 660?
Answer: LCM of 550, 816, 240, 829, 660 is 186027600.
2. How to calculate the LCM of 550, 816, 240, 829, 660?
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 550, 816, 240, 829, 660.
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}.