LCM of 303, 742, 143, 814, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 742, 143, 814, 418 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 303, 742, 143, 814, 418. So, keep reading to learn more.
Given numbers are 303,742,143,814,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,742,143,814,418 is 22601532954.
Find LCM of 303,742,143,814,418 with Prime Factorization
| 2 | 303, 742, 143, 814, 418 |
| 11 | 303, 371, 143, 407, 209 |
| 303, 371, 13, 37, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 303 x 371 x 13 x 37 x 19 = 22601532954
Therefore, the lowest common multiple of 303,742,143,814,418 is 22601532954.
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.
303 x 742 x 143 x 814 x 418 = 10939141949736
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.
303 : 1, 3, 101, 303
742 : 1, 2, 7, 14, 53, 106, 371, 742
143 : 1, 11, 13, 143
814 : 1, 2, 11, 22, 37, 74, 407, 814
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,742,143,814,418, is 1.
Now, the common factors can be found like this.
303:3x 101
742:2x 7x 53
143:11x 13
814:2x 11x 37
418:2x 11x 19
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 10939141949736/(1x484)
LCM = 10939141949736/484
LCM = 22601532954
Thus, we can understand that the LCM of 303,742,143,814,418 is 22601532954.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 742, 143, 814, 418
1. What is the LCM of 303, 742, 143, 814, 418?
Answer: LCM of 303, 742, 143, 814, 418 is 22601532954.
2. How to calculate the LCM of 303, 742, 143, 814, 418?
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 303, 742, 143, 814, 418.
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}.