Find the LCM of 578, 754, 702, 244, 170 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, 754, 702, 244, 170. So, keep reading to learn more.
Given numbers are 578,754,702,244,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,754,702,244,170 is 3588911820.
Find LCM of 578,754,702,244,170 with Prime Factorization
2 | 578, 754, 702, 244, 170 |
13 | 289, 377, 351, 122, 85 |
17 | 289, 29, 27, 122, 85 |
17, 29, 27, 122, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 17 x 29 x 27 x 122 x 5 = 3588911820
Therefore, the lowest common multiple of 578,754,702,244,170 is 3588911820.
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 754 x 702 x 244 x 170 = 12690392195520
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
244 : 1, 2, 4, 61, 122, 244
170 : 1, 2, 5, 10, 17, 34, 85, 170
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,754,702,244,170, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
754:2x 13x 29
702:2x 3x 3x 3x 13
244:2x 2x 61
170:2x 5x 17
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 13x 17 = 1768
Therefore, the value for common factors is 1768.
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 = 12690392195520/(2x1768)
LCM = 12690392195520/3536
LCM = 3588911820
Thus, we can understand that the LCM of 578,754,702,244,170 is 3588911820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 754, 702, 244, 170?
Answer: LCM of 578, 754, 702, 244, 170 is 3588911820.
2. How to calculate the LCM of 578, 754, 702, 244, 170?
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, 754, 702, 244, 170.
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}.