Find the LCM of 722, 304, 234, 108 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 722, 304, 234, 108. So, keep reading to learn more.
Given numbers are 722,304,234,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,304,234,108 is 2027376.
Find LCM of 722,304,234,108 with Prime Factorization
2 | 722, 304, 234, 108 |
2 | 361, 152, 117, 54 |
3 | 361, 76, 117, 27 |
3 | 361, 76, 39, 9 |
19 | 361, 76, 13, 3 |
19, 4, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 19 x 4 x 13 x 3 = 2027376
Therefore, the lowest common multiple of 722,304,234,108 is 2027376.
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.
722 x 304 x 234 x 108 = 5546900736
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.
722 : 1, 2, 19, 38, 361, 722
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,304,234,108, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
304:2x 2x 2x 2x 19
234:2x 3x 3x 13
108:2x 2x 3x 3x 3
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 5546900736/(2x1368)
LCM = 5546900736/2736
LCM = 2027376
Thus, we can understand that the LCM of 722,304,234,108 is 2027376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 304, 234, 108?
Answer: LCM of 722, 304, 234, 108 is 2027376.
2. How to calculate the LCM of 722, 304, 234, 108?
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 722, 304, 234, 108.
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}.