Find the LCM of 578, 356, 680, 588, 764 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 578, 356, 680, 588, 764. So, keep reading to learn more.
Given numbers are 578,356,680,588,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,356,680,588,764 is 28886740680.
Find LCM of 578,356,680,588,764 with Prime Factorization
2 | 578, 356, 680, 588, 764 |
2 | 289, 178, 340, 294, 382 |
17 | 289, 89, 170, 147, 191 |
17, 89, 10, 147, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 17 x 89 x 10 x 147 x 191 = 28886740680
Therefore, the lowest common multiple of 578,356,680,588,764 is 28886740680.
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.
578 x 356 x 680 x 588 x 764 = 62857547719680
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.
578 : 1, 2, 17, 34, 289, 578
356 : 1, 2, 4, 89, 178, 356
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
764 : 1, 2, 4, 191, 382, 764
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,356,680,588,764, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
356:2x 2x 89
680:2x 2x 2x 5x 17
588:2x 2x 3x 7x 7
764:2x 2x 191
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 17 = 1088
Therefore, the value for common factors is 1088.
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 = 62857547719680/(2x1088)
LCM = 62857547719680/2176
LCM = 28886740680
Thus, we can understand that the LCM of 578,356,680,588,764 is 28886740680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 356, 680, 588, 764?
Answer: LCM of 578, 356, 680, 588, 764 is 28886740680.
2. How to calculate the LCM of 578, 356, 680, 588, 764?
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 578, 356, 680, 588, 764.
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}.