Find the LCM of 573, 250, 169, 286, 605 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, 250, 169, 286, 605. So, keep reading to learn more.
Given numbers are 573,250,169,286,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,250,169,286,605 is 2929319250.
Find LCM of 573,250,169,286,605 with Prime Factorization
2 | 573, 250, 169, 286, 605 |
5 | 573, 125, 169, 143, 605 |
11 | 573, 25, 169, 143, 121 |
13 | 573, 25, 169, 13, 11 |
573, 25, 1, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 573 x 25 x 1 x 13 x 11 = 2929319250
Therefore, the lowest common multiple of 573,250,169,286,605 is 2929319250.
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 250 x 169 x 286 x 605 = 4188926527500
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
250 : 1, 2, 5, 10, 25, 50, 125, 250
169 : 1, 13, 169
286 : 1, 2, 11, 13, 22, 26, 143, 286
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,250,169,286,605, is 1.
Now, the common factors can be found like this.
573:3x 191
250:2x 5x 5x 5
169:13x 13
286:2x 11x 13
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 13 = 1430
Therefore, the value for common factors is 1430.
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 = 4188926527500/(1x1430)
LCM = 4188926527500/1430
LCM = 2929319250
Thus, we can understand that the LCM of 573,250,169,286,605 is 2929319250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 250, 169, 286, 605?
Answer: LCM of 573, 250, 169, 286, 605 is 2929319250.
2. How to calculate the LCM of 573, 250, 169, 286, 605?
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, 250, 169, 286, 605.
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}.