Find the LCM of 302, 578, 568, 948, 234 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 302, 578, 568, 948, 234. So, keep reading to learn more.
Given numbers are 302,578,568,948,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,578,568,948,234 is 229105797336.
Find LCM of 302,578,568,948,234 with Prime Factorization
2 | 302, 578, 568, 948, 234 |
2 | 151, 289, 284, 474, 117 |
3 | 151, 289, 142, 237, 117 |
151, 289, 142, 79, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 289 x 142 x 79 x 39 = 229105797336
Therefore, the lowest common multiple of 302,578,568,948,234 is 229105797336.
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.
302 x 578 x 568 x 948 x 234 = 21994156544256
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.
302 : 1, 2, 151, 302
578 : 1, 2, 17, 34, 289, 578
568 : 1, 2, 4, 8, 71, 142, 284, 568
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,578,568,948,234, is 2.
Now, the common factors can be found like this.
302:2x 151
578:2x 17x 17
568:2x 2x 2x 71
948:2x 2x 3x 79
234:2x 3x 3x 13
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 3 = 48
Therefore, the value for common factors is 48.
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 = 21994156544256/(2x48)
LCM = 21994156544256/96
LCM = 229105797336
Thus, we can understand that the LCM of 302,578,568,948,234 is 229105797336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 578, 568, 948, 234?
Answer: LCM of 302, 578, 568, 948, 234 is 229105797336.
2. How to calculate the LCM of 302, 578, 568, 948, 234?
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 302, 578, 568, 948, 234.
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}.