Find the LCM of 577, 468, 110, 308, 334 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 577, 468, 110, 308, 334. So, keep reading to learn more.
Given numbers are 577,468,110,308,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,468,110,308,334 is 17361964620.
Find LCM of 577,468,110,308,334 with Prime Factorization
2 | 577, 468, 110, 308, 334 |
2 | 577, 234, 55, 154, 167 |
11 | 577, 117, 55, 77, 167 |
577, 117, 5, 7, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 577 x 117 x 5 x 7 x 167 = 17361964620
Therefore, the lowest common multiple of 577,468,110,308,334 is 17361964620.
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.
577 x 468 x 110 x 308 x 334 = 3055705773120
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.
577 : 1, 577
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
110 : 1, 2, 5, 10, 11, 22, 55, 110
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,468,110,308,334, is 1.
Now, the common factors can be found like this.
577:577
468:2x 2x 3x 3x 13
110:2x 5x 11
308:2x 2x 7x 11
334:2x 167
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 11 = 176
Therefore, the value for common factors is 176.
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 = 3055705773120/(1x176)
LCM = 3055705773120/176
LCM = 17361964620
Thus, we can understand that the LCM of 577,468,110,308,334 is 17361964620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 468, 110, 308, 334?
Answer: LCM of 577, 468, 110, 308, 334 is 17361964620.
2. How to calculate the LCM of 577, 468, 110, 308, 334?
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 577, 468, 110, 308, 334.
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}.