LCM of 148, 468, 222, 202, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 468, 222, 202, 423 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 148, 468, 222, 202, 423. So, keep reading to learn more.
Given numbers are 148,468,222,202,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,468,222,202,423 is 82199052.
Find LCM of 148,468,222,202,423 with Prime Factorization
| 2 | 148, 468, 222, 202, 423 |
| 2 | 74, 234, 111, 101, 423 |
| 3 | 37, 117, 111, 101, 423 |
| 3 | 37, 39, 37, 101, 141 |
| 37 | 37, 13, 37, 101, 47 |
| 1, 13, 1, 101, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 37 x 1 x 13 x 1 x 101 x 47 = 82199052
Therefore, the lowest common multiple of 148,468,222,202,423 is 82199052.
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.
148 x 468 x 222 x 202 x 423 = 1313869647168
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.
148 : 1, 2, 4, 37, 74, 148
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
222 : 1, 2, 3, 6, 37, 74, 111, 222
202 : 1, 2, 101, 202
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,468,222,202,423, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
468:2x 2x 3x 3x 13
222:2x 3x 37
202:2x 101
423:3x 3x 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 2x 2x 3x 3x 3x 37 = 15984
Therefore, the value for common factors is 15984.
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 = 1313869647168/(1x15984)
LCM = 1313869647168/15984
LCM = 82199052
Thus, we can understand that the LCM of 148,468,222,202,423 is 82199052.
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FAQs on LCM of 148, 468, 222, 202, 423
1. What is the LCM of 148, 468, 222, 202, 423?
Answer: LCM of 148, 468, 222, 202, 423 is 82199052.
2. How to calculate the LCM of 148, 468, 222, 202, 423?
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 148, 468, 222, 202, 423.
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}.