LCM of 318, 935, 154, 990, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 935, 154, 990, 443 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 318, 935, 154, 990, 443. So, keep reading to learn more.
Given numbers are 318,935,154,990,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,935,154,990,443 is 2766060990.
Find LCM of 318,935,154,990,443 with Prime Factorization
| 2 | 318, 935, 154, 990, 443 |
| 3 | 159, 935, 77, 495, 443 |
| 5 | 53, 935, 77, 165, 443 |
| 11 | 53, 187, 77, 33, 443 |
| 53, 17, 7, 3, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 53 x 17 x 7 x 3 x 443 = 2766060990
Therefore, the lowest common multiple of 318,935,154,990,443 is 2766060990.
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.
318 x 935 x 154 x 990 x 443 = 20081602787400
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
935 : 1, 5, 11, 17, 55, 85, 187, 935
154 : 1, 2, 7, 11, 14, 22, 77, 154
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
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,935,154,990,443, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
935:5x 11x 17
154:2x 7x 11
990:2x 3x 3x 5x 11
443:443
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 3x 5x 11x 11 = 7260
Therefore, the value for common factors is 7260.
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 = 20081602787400/(1x7260)
LCM = 20081602787400/7260
LCM = 2766060990
Thus, we can understand that the LCM of 318,935,154,990,443 is 2766060990.
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FAQs on LCM of 318, 935, 154, 990, 443
1. What is the LCM of 318, 935, 154, 990, 443?
Answer: LCM of 318, 935, 154, 990, 443 is 2766060990.
2. How to calculate the LCM of 318, 935, 154, 990, 443?
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 318, 935, 154, 990, 443.
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}.