LCM of 222, 629, 300, 119, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 629, 300, 119, 998 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, 629, 300, 119, 998. So, keep reading to learn more.
Given numbers are 222,629,300,119,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,629,300,119,998 is 659129100.
Find LCM of 222,629,300,119,998 with Prime Factorization
| 2 | 222, 629, 300, 119, 998 |
| 3 | 111, 629, 150, 119, 499 |
| 17 | 37, 629, 50, 119, 499 |
| 37 | 37, 37, 50, 7, 499 |
| 1, 1, 50, 7, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 37 x 1 x 1 x 50 x 7 x 499 = 659129100
Therefore, the lowest common multiple of 222,629,300,119,998 is 659129100.
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 629 x 300 x 119 x 998 = 4975106446800
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
629 : 1, 17, 37, 629
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
119 : 1, 7, 17, 119
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,629,300,119,998, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
629:17x 37
300:2x 2x 3x 5x 5
119:7x 17
998:2x 499
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 3x 17x 37 = 7548
Therefore, the value for common factors is 7548.
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 = 4975106446800/(1x7548)
LCM = 4975106446800/7548
LCM = 659129100
Thus, we can understand that the LCM of 222,629,300,119,998 is 659129100.
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FAQs on LCM of 222, 629, 300, 119, 998
1. What is the LCM of 222, 629, 300, 119, 998?
Answer: LCM of 222, 629, 300, 119, 998 is 659129100.
2. How to calculate the LCM of 222, 629, 300, 119, 998?
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, 629, 300, 119, 998.
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}.