LCM of 222, 199, 361, 176, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 199, 361, 176, 306 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, 199, 361, 176, 306. So, keep reading to learn more.
Given numbers are 222,199,361,176,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,199,361,176,306 is 71575781904.
Find LCM of 222,199,361,176,306 with Prime Factorization
| 2 | 222, 199, 361, 176, 306 |
| 3 | 111, 199, 361, 88, 153 |
| 37, 199, 361, 88, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 199 x 361 x 88 x 51 = 71575781904
Therefore, the lowest common multiple of 222,199,361,176,306 is 71575781904.
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 199 x 361 x 176 x 306 = 858909382848
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
199 : 1, 199
361 : 1, 19, 361
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,199,361,176,306, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
199:199
361:19x 19
176:2x 2x 2x 2x 11
306:2x 3x 3x 17
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 3 = 12
Therefore, the value for common factors is 12.
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 = 858909382848/(1x12)
LCM = 858909382848/12
LCM = 71575781904
Thus, we can understand that the LCM of 222,199,361,176,306 is 71575781904.
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FAQs on LCM of 222, 199, 361, 176, 306
1. What is the LCM of 222, 199, 361, 176, 306?
Answer: LCM of 222, 199, 361, 176, 306 is 71575781904.
2. How to calculate the LCM of 222, 199, 361, 176, 306?
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, 199, 361, 176, 306.
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}.