LCM of 431, 182, 484, 504, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 182, 484, 504, 618 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 431, 182, 484, 504, 618. So, keep reading to learn more.
Given numbers are 431,182,484,504,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,182,484,504,618 is 35194415256.
Find LCM of 431,182,484,504,618 with Prime Factorization
| 2 | 431, 182, 484, 504, 618 |
| 2 | 431, 91, 242, 252, 309 |
| 3 | 431, 91, 121, 126, 309 |
| 7 | 431, 91, 121, 42, 103 |
| 431, 13, 121, 6, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 431 x 13 x 121 x 6 x 103 = 35194415256
Therefore, the lowest common multiple of 431,182,484,504,618 is 35194415256.
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.
431 x 182 x 484 x 504 x 618 = 11825323526016
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.
431 : 1, 431
182 : 1, 2, 7, 13, 14, 26, 91, 182
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,182,484,504,618, is 1.
Now, the common factors can be found like this.
431:431
182:2x 7x 13
484:2x 2x 11x 11
504:2x 2x 2x 3x 3x 7
618:2x 3x 103
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 11825323526016/(1x336)
LCM = 11825323526016/336
LCM = 35194415256
Thus, we can understand that the LCM of 431,182,484,504,618 is 35194415256.
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FAQs on LCM of 431, 182, 484, 504, 618
1. What is the LCM of 431, 182, 484, 504, 618?
Answer: LCM of 431, 182, 484, 504, 618 is 35194415256.
2. How to calculate the LCM of 431, 182, 484, 504, 618?
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 431, 182, 484, 504, 618.
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}.