Find the LCM of 177, 473, 876, 146, 816 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 177, 473, 876, 146, 816. So, keep reading to learn more.
Given numbers are 177,473,876,146,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,473,876,146,816 is 1662364176.
Find LCM of 177,473,876,146,816 with Prime Factorization
2 | 177, 473, 876, 146, 816 |
2 | 177, 473, 438, 73, 408 |
3 | 177, 473, 219, 73, 204 |
73 | 59, 473, 73, 73, 68 |
59, 473, 1, 1, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 59 x 473 x 1 x 1 x 68 = 1662364176
Therefore, the lowest common multiple of 177,473,876,146,816 is 1662364176.
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.
177 x 473 x 876 x 146 x 816 = 8737386109056
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.
177 : 1, 3, 59, 177
473 : 1, 11, 43, 473
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
146 : 1, 2, 73, 146
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,473,876,146,816, is 1.
Now, the common factors can be found like this.
177:3x 59
473:11x 43
876:2x 2x 3x 73
146:2x 73
816:2x 2x 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 3x 3x 73 = 5256
Therefore, the value for common factors is 5256.
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 = 8737386109056/(1x5256)
LCM = 8737386109056/5256
LCM = 1662364176
Thus, we can understand that the LCM of 177,473,876,146,816 is 1662364176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 177, 473, 876, 146, 816?
Answer: LCM of 177, 473, 876, 146, 816 is 1662364176.
2. How to calculate the LCM of 177, 473, 876, 146, 816?
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 177, 473, 876, 146, 816.
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}.