Find the LCM of 453, 567, 189, 476, 222 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 453, 567, 189, 476, 222. So, keep reading to learn more.
Given numbers are 453,567,189,476,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,567,189,476,222 is 215412372.
Find LCM of 453,567,189,476,222 with Prime Factorization
2 | 453, 567, 189, 476, 222 |
3 | 453, 567, 189, 238, 111 |
3 | 151, 63, 189, 238, 37 |
3 | 151, 21, 63, 238, 37 |
7 | 151, 7, 21, 238, 37 |
151, 1, 3, 34, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 151 x 1 x 3 x 34 x 37 = 215412372
Therefore, the lowest common multiple of 453,567,189,476,222 is 215412372.
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.
453 x 567 x 189 x 476 x 222 = 5129830226808
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.
453 : 1, 3, 151, 453
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
189 : 1, 3, 7, 9, 21, 27, 63, 189
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,567,189,476,222, is 1.
Now, the common factors can be found like this.
453:3x 151
567:3x 3x 3x 3x 7
189:3x 3x 3x 7
476:2x 2x 7x 17
222:2x 3x 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 3x 3x 3x 3x 3x 7x 7 = 23814
Therefore, the value for common factors is 23814.
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 = 5129830226808/(1x23814)
LCM = 5129830226808/23814
LCM = 215412372
Thus, we can understand that the LCM of 453,567,189,476,222 is 215412372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 453, 567, 189, 476, 222?
Answer: LCM of 453, 567, 189, 476, 222 is 215412372.
2. How to calculate the LCM of 453, 567, 189, 476, 222?
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 453, 567, 189, 476, 222.
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}.