LCM of 242, 968, 363, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 968, 363, 719 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, 968, 363, 719. So, keep reading to learn more.
Given numbers are 242,968,363,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,968,363,719 is 2087976.
Find LCM of 242,968,363,719 with Prime Factorization
| 2 | 242, 968, 363, 719 |
| 11 | 121, 484, 363, 719 |
| 11 | 11, 44, 33, 719 |
| 1, 4, 3, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 1 x 4 x 3 x 719 = 2087976
Therefore, the lowest common multiple of 242,968,363,719 is 2087976.
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 968 x 363 x 719 = 61140113232
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
363 : 1, 3, 11, 33, 121, 363
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,968,363,719, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
968:2x 2x 2x 11x 11
363:3x 11x 11
719:719
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11x 11 = 29282
Therefore, the value for common factors is 29282.
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 = 61140113232/(1x29282)
LCM = 61140113232/29282
LCM = 2087976
Thus, we can understand that the LCM of 242,968,363,719 is 2087976.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 242, 968, 363, 719
1. What is the LCM of 242, 968, 363, 719?
Answer: LCM of 242, 968, 363, 719 is 2087976.
2. How to calculate the LCM of 242, 968, 363, 719?
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, 968, 363, 719.
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}.