Find the LCM of 222, 377, 253, 775, 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 222, 377, 253, 775, 590. So, keep reading to learn more.
Given numbers are 222,377,253,775,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,377,253,775,590 is 968207761950.
Find LCM of 222,377,253,775,590 with Prime Factorization
2 | 222, 377, 253, 775, 590 |
5 | 111, 377, 253, 775, 295 |
111, 377, 253, 155, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 111 x 377 x 253 x 155 x 59 = 968207761950
Therefore, the lowest common multiple of 222,377,253,775,590 is 968207761950.
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.
222 x 377 x 253 x 775 x 590 = 9682077619500
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
377 : 1, 13, 29, 377
253 : 1, 11, 23, 253
775 : 1, 5, 25, 31, 155, 775
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 222,377,253,775,590, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
377:13x 29
253:11x 23
775:5x 5x 31
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.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 9682077619500/(1x10)
LCM = 9682077619500/10
LCM = 968207761950
Thus, we can understand that the LCM of 222,377,253,775,590 is 968207761950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 222, 377, 253, 775, 590?
Answer: LCM of 222, 377, 253, 775, 590 is 968207761950.
2. How to calculate the LCM of 222, 377, 253, 775, 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 222, 377, 253, 775, 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}.