Find the LCM of 605, 791, 720, 355 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 605, 791, 720, 355. So, keep reading to learn more.
Given numbers are 605,791,720,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,791,720,355 is 4892746320.
Find LCM of 605,791,720,355 with Prime Factorization
5 | 605, 791, 720, 355 |
121, 791, 144, 71 |
Multiply the prime numbers at the bottom and the left side.
5 x 121 x 791 x 144 x 71 = 4892746320
Therefore, the lowest common multiple of 605,791,720,355 is 4892746320.
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.
605 x 791 x 720 x 355 = 122318658000
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.
605 : 1, 5, 11, 55, 121, 605
791 : 1, 7, 113, 791
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,791,720,355, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
791:7x 113
720:2x 2x 2x 2x 3x 3x 5
355:5x 71
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 = 122318658000/(1x25)
LCM = 122318658000/25
LCM = 4892746320
Thus, we can understand that the LCM of 605,791,720,355 is 4892746320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 791, 720, 355?
Answer: LCM of 605, 791, 720, 355 is 4892746320.
2. How to calculate the LCM of 605, 791, 720, 355?
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 605, 791, 720, 355.
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}.