LCM of 703, 666, 616, 990, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 666, 616, 990, 230 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 703, 666, 616, 990, 230. So, keep reading to learn more.
Given numbers are 703,666,616,990,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,666,616,990,230 is 448204680.
Find LCM of 703,666,616,990,230 with Prime Factorization
| 2 | 703, 666, 616, 990, 230 |
| 3 | 703, 333, 308, 495, 115 |
| 3 | 703, 111, 308, 165, 115 |
| 5 | 703, 37, 308, 55, 115 |
| 11 | 703, 37, 308, 11, 23 |
| 37 | 703, 37, 28, 1, 23 |
| 19, 1, 28, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 37 x 19 x 1 x 28 x 1 x 23 = 448204680
Therefore, the lowest common multiple of 703,666,616,990,230 is 448204680.
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.
703 x 666 x 616 x 990 x 230 = 65670949713600
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.
703 : 1, 19, 37, 703
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,666,616,990,230, is 1.
Now, the common factors can be found like this.
703:19x 37
666:2x 3x 3x 37
616:2x 2x 2x 7x 11
990:2x 3x 3x 5x 11
230:2x 5x 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 2x 2x 3x 3x 5x 11x 37 = 146520
Therefore, the value for common factors is 146520.
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 = 65670949713600/(1x146520)
LCM = 65670949713600/146520
LCM = 448204680
Thus, we can understand that the LCM of 703,666,616,990,230 is 448204680.
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FAQs on LCM of 703, 666, 616, 990, 230
1. What is the LCM of 703, 666, 616, 990, 230?
Answer: LCM of 703, 666, 616, 990, 230 is 448204680.
2. How to calculate the LCM of 703, 666, 616, 990, 230?
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 703, 666, 616, 990, 230.
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}.