LCM of 203, 480, 950, 990, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 480, 950, 990, 678 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 203, 480, 950, 990, 678. So, keep reading to learn more.
Given numbers are 203,480,950,990,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,480,950,990,678 is 34518607200.
Find LCM of 203,480,950,990,678 with Prime Factorization
| 2 | 203, 480, 950, 990, 678 |
| 3 | 203, 240, 475, 495, 339 |
| 5 | 203, 80, 475, 165, 113 |
| 203, 16, 95, 33, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 203 x 16 x 95 x 33 x 113 = 34518607200
Therefore, the lowest common multiple of 203,480,950,990,678 is 34518607200.
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.
203 x 480 x 950 x 990 x 678 = 62133492960000
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.
203 : 1, 7, 29, 203
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,480,950,990,678, is 1.
Now, the common factors can be found like this.
203:7x 29
480:2x 2x 2x 2x 2x 3x 5
950:2x 5x 5x 19
990:2x 3x 3x 5x 11
678:2x 3x 113
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 5 = 1800
Therefore, the value for common factors is 1800.
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 = 62133492960000/(1x1800)
LCM = 62133492960000/1800
LCM = 34518607200
Thus, we can understand that the LCM of 203,480,950,990,678 is 34518607200.
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FAQs on LCM of 203, 480, 950, 990, 678
1. What is the LCM of 203, 480, 950, 990, 678?
Answer: LCM of 203, 480, 950, 990, 678 is 34518607200.
2. How to calculate the LCM of 203, 480, 950, 990, 678?
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 203, 480, 950, 990, 678.
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}.