Find the LCM of 242, 629, 634, 736, 370 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 242, 629, 634, 736, 370. So, keep reading to learn more.
Given numbers are 242,629,634,736,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,629,634,736,370 is 88785715040.
Find LCM of 242,629,634,736,370 with Prime Factorization
2 | 242, 629, 634, 736, 370 |
37 | 121, 629, 317, 368, 185 |
121, 17, 317, 368, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 121 x 17 x 317 x 368 x 5 = 88785715040
Therefore, the lowest common multiple of 242,629,634,736,370 is 88785715040.
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.
242 x 629 x 634 x 736 x 370 = 26280571651840
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.
242 : 1, 2, 11, 22, 121, 242
629 : 1, 17, 37, 629
634 : 1, 2, 317, 634
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,629,634,736,370, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
629:17x 37
634:2x 317
736:2x 2x 2x 2x 2x 23
370:2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 37 = 296
Therefore, the value for common factors is 296.
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 = 26280571651840/(1x296)
LCM = 26280571651840/296
LCM = 88785715040
Thus, we can understand that the LCM of 242,629,634,736,370 is 88785715040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 242, 629, 634, 736, 370?
Answer: LCM of 242, 629, 634, 736, 370 is 88785715040.
2. How to calculate the LCM of 242, 629, 634, 736, 370?
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 242, 629, 634, 736, 370.
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}.