Find the LCM of 148, 263, 428, 504, 204 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, 263, 428, 504, 204. So, keep reading to learn more.
Given numbers are 148,263,428,504,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,263,428,504,204 is 8921147256.
Find LCM of 148,263,428,504,204 with Prime Factorization
2 | 148, 263, 428, 504, 204 |
2 | 74, 263, 214, 252, 102 |
3 | 37, 263, 107, 126, 51 |
37, 263, 107, 42, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 263 x 107 x 42 x 17 = 8921147256
Therefore, the lowest common multiple of 148,263,428,504,204 is 8921147256.
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 263 x 428 x 504 x 204 = 1712860273152
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
263 : 1, 263
428 : 1, 2, 4, 107, 214, 428
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,263,428,504,204, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
263:263
428:2x 2x 107
504:2x 2x 2x 3x 3x 7
204:2x 2x 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 2x 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 1712860273152/(1x192)
LCM = 1712860273152/192
LCM = 8921147256
Thus, we can understand that the LCM of 148,263,428,504,204 is 8921147256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 148, 263, 428, 504, 204?
Answer: LCM of 148, 263, 428, 504, 204 is 8921147256.
2. How to calculate the LCM of 148, 263, 428, 504, 204?
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, 263, 428, 504, 204.
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}.