Find the LCM of 553, 605, 705, 373, 590 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 553, 605, 705, 373, 590. So, keep reading to learn more.
Given numbers are 553,605,705,373,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,605,705,373,590 is 2076301691310.
Find LCM of 553,605,705,373,590 with Prime Factorization
5 | 553, 605, 705, 373, 590 |
553, 121, 141, 373, 118 |
Multiply the prime numbers at the bottom and the left side.
5 x 553 x 121 x 141 x 373 x 118 = 2076301691310
Therefore, the lowest common multiple of 553,605,705,373,590 is 2076301691310.
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.
553 x 605 x 705 x 373 x 590 = 51907542282750
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.
553 : 1, 7, 79, 553
605 : 1, 5, 11, 55, 121, 605
705 : 1, 3, 5, 15, 47, 141, 235, 705
373 : 1, 373
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,605,705,373,590, is 1.
Now, the common factors can be found like this.
553:7x 79
605:5x 11x 11
705:3x 5x 47
373:373
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 51907542282750/(1x25)
LCM = 51907542282750/25
LCM = 2076301691310
Thus, we can understand that the LCM of 553,605,705,373,590 is 2076301691310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 605, 705, 373, 590?
Answer: LCM of 553, 605, 705, 373, 590 is 2076301691310.
2. How to calculate the LCM of 553, 605, 705, 373, 590?
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 553, 605, 705, 373, 590.
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}.