Find the LCM of 573, 454, 573, 684, 655 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 573, 454, 573, 684, 655. So, keep reading to learn more.
Given numbers are 573,454,573,684,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,454,573,684,655 is 19424803140.
Find LCM of 573,454,573,684,655 with Prime Factorization
2 | 573, 454, 573, 684, 655 |
3 | 573, 227, 573, 342, 655 |
191 | 191, 227, 191, 114, 655 |
1, 227, 1, 114, 655 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 1 x 227 x 1 x 114 x 655 = 19424803140
Therefore, the lowest common multiple of 573,454,573,684,655 is 19424803140.
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.
573 x 454 x 573 x 684 x 655 = 66782473195320
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.
573 : 1, 3, 191, 573
454 : 1, 2, 227, 454
573 : 1, 3, 191, 573
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,454,573,684,655, is 1.
Now, the common factors can be found like this.
573:3x 191
454:2x 227
573:3x 191
684:2x 2x 3x 3x 19
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 191 = 3438
Therefore, the value for common factors is 3438.
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 = 66782473195320/(1x3438)
LCM = 66782473195320/3438
LCM = 19424803140
Thus, we can understand that the LCM of 573,454,573,684,655 is 19424803140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 454, 573, 684, 655?
Answer: LCM of 573, 454, 573, 684, 655 is 19424803140.
2. How to calculate the LCM of 573, 454, 573, 684, 655?
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 573, 454, 573, 684, 655.
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}.