LCM of 198, 222, 562, 299, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 222, 562, 299, 611 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 198, 222, 562, 299, 611. So, keep reading to learn more.
Given numbers are 198,222,562,299,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,222,562,299,611 is 28929590118.
Find LCM of 198,222,562,299,611 with Prime Factorization
| 2 | 198, 222, 562, 299, 611 |
| 3 | 99, 111, 281, 299, 611 |
| 13 | 33, 37, 281, 299, 611 |
| 33, 37, 281, 23, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 33 x 37 x 281 x 23 x 47 = 28929590118
Therefore, the lowest common multiple of 198,222,562,299,611 is 28929590118.
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.
198 x 222 x 562 x 299 x 611 = 4513016058408
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
222 : 1, 2, 3, 6, 37, 74, 111, 222
562 : 1, 2, 281, 562
299 : 1, 13, 23, 299
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,222,562,299,611, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
222:2x 3x 37
562:2x 281
299:13x 23
611:13x 47
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 13 = 156
Therefore, the value for common factors is 156.
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 = 4513016058408/(1x156)
LCM = 4513016058408/156
LCM = 28929590118
Thus, we can understand that the LCM of 198,222,562,299,611 is 28929590118.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 198, 222, 562, 299, 611
1. What is the LCM of 198, 222, 562, 299, 611?
Answer: LCM of 198, 222, 562, 299, 611 is 28929590118.
2. How to calculate the LCM of 198, 222, 562, 299, 611?
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 198, 222, 562, 299, 611.
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}.