Find the LCM of 304, 782, 504, 784, 974 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 304, 782, 504, 784, 974. So, keep reading to learn more.
Given numbers are 304,782,504,784,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,782,504,784,974 is 25528064688.
Find LCM of 304,782,504,784,974 with Prime Factorization
2 | 304, 782, 504, 784, 974 |
2 | 152, 391, 252, 392, 487 |
2 | 76, 391, 126, 196, 487 |
2 | 38, 391, 63, 98, 487 |
7 | 19, 391, 63, 49, 487 |
19, 391, 9, 7, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 19 x 391 x 9 x 7 x 487 = 25528064688
Therefore, the lowest common multiple of 304,782,504,784,974 is 25528064688.
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.
304 x 782 x 504 x 784 x 974 = 91492583841792
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
782 : 1, 2, 17, 23, 34, 46, 391, 782
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
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
974 : 1, 2, 487, 974
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,782,504,784,974, is 2.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
782:2x 17x 23
504:2x 2x 2x 3x 3x 7
784:2x 2x 2x 2x 7x 7
974:2x 487
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 2x 2x 2x 2x 7 = 1792
Therefore, the value for common factors is 1792.
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 = 91492583841792/(2x1792)
LCM = 91492583841792/3584
LCM = 25528064688
Thus, we can understand that the LCM of 304,782,504,784,974 is 25528064688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 782, 504, 784, 974?
Answer: LCM of 304, 782, 504, 784, 974 is 25528064688.
2. How to calculate the LCM of 304, 782, 504, 784, 974?
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 304, 782, 504, 784, 974.
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}.