Find the LCM of 429, 670, 504, 382, 186 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 429, 670, 504, 382, 186. So, keep reading to learn more.
Given numbers are 429,670,504,382,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,670,504,382,186 is 142957334520.
Find LCM of 429,670,504,382,186 with Prime Factorization
2 | 429, 670, 504, 382, 186 |
3 | 429, 335, 252, 191, 93 |
143, 335, 84, 191, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 335 x 84 x 191 x 31 = 142957334520
Therefore, the lowest common multiple of 429,670,504,382,186 is 142957334520.
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.
429 x 670 x 504 x 382 x 186 = 10292928085440
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
670 : 1, 2, 5, 10, 67, 134, 335, 670
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
382 : 1, 2, 191, 382
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,670,504,382,186, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
670:2x 5x 67
504:2x 2x 2x 3x 3x 7
382:2x 191
186:2x 3x 31
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 10292928085440/(1x72)
LCM = 10292928085440/72
LCM = 142957334520
Thus, we can understand that the LCM of 429,670,504,382,186 is 142957334520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 670, 504, 382, 186?
Answer: LCM of 429, 670, 504, 382, 186 is 142957334520.
2. How to calculate the LCM of 429, 670, 504, 382, 186?
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 429, 670, 504, 382, 186.
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}.