Find the LCM of 464, 294, 351, 120, 499 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 464, 294, 351, 120, 499. So, keep reading to learn more.
Given numbers are 464,294,351,120,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,294,351,120,499 is 19910938320.
Find LCM of 464,294,351,120,499 with Prime Factorization
2 | 464, 294, 351, 120, 499 |
2 | 232, 147, 351, 60, 499 |
2 | 116, 147, 351, 30, 499 |
3 | 58, 147, 351, 15, 499 |
58, 49, 117, 5, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 58 x 49 x 117 x 5 x 499 = 19910938320
Therefore, the lowest common multiple of 464,294,351,120,499 is 19910938320.
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.
464 x 294 x 351 x 120 x 499 = 2867175118080
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
351 : 1, 3, 9, 13, 27, 39, 117, 351
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,294,351,120,499, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
294:2x 3x 7x 7
351:3x 3x 3x 13
120:2x 2x 2x 3x 5
499:499
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 3 = 144
Therefore, the value for common factors is 144.
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 = 2867175118080/(1x144)
LCM = 2867175118080/144
LCM = 19910938320
Thus, we can understand that the LCM of 464,294,351,120,499 is 19910938320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 464, 294, 351, 120, 499?
Answer: LCM of 464, 294, 351, 120, 499 is 19910938320.
2. How to calculate the LCM of 464, 294, 351, 120, 499?
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 464, 294, 351, 120, 499.
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}.