Find the LCM of 442, 318, 116, 506, 824 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 442, 318, 116, 506, 824. So, keep reading to learn more.
Given numbers are 442,318,116,506,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,318,116,506,824 is 212439430632.
Find LCM of 442,318,116,506,824 with Prime Factorization
2 | 442, 318, 116, 506, 824 |
2 | 221, 159, 58, 253, 412 |
221, 159, 29, 253, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 221 x 159 x 29 x 253 x 206 = 212439430632
Therefore, the lowest common multiple of 442,318,116,506,824 is 212439430632.
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.
442 x 318 x 116 x 506 x 824 = 6798061780224
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
318 : 1, 2, 3, 6, 53, 106, 159, 318
116 : 1, 2, 4, 29, 58, 116
506 : 1, 2, 11, 22, 23, 46, 253, 506
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,318,116,506,824, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
318:2x 3x 53
116:2x 2x 29
506:2x 11x 23
824:2x 2x 2x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 6798061780224/(2x16)
LCM = 6798061780224/32
LCM = 212439430632
Thus, we can understand that the LCM of 442,318,116,506,824 is 212439430632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 318, 116, 506, 824?
Answer: LCM of 442, 318, 116, 506, 824 is 212439430632.
2. How to calculate the LCM of 442, 318, 116, 506, 824?
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 442, 318, 116, 506, 824.
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}.