Find the LCM of 177, 629, 407, 554 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, 629, 407, 554. So, keep reading to learn more.
Given numbers are 177,629,407,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,629,407,554 is 678463302.
Find LCM of 177,629,407,554 with Prime Factorization
37 | 177, 629, 407, 554 |
177, 17, 11, 554 |
Multiply the prime numbers at the bottom and the left side.
37 x 177 x 17 x 11 x 554 = 678463302
Therefore, the lowest common multiple of 177,629,407,554 is 678463302.
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 629 x 407 x 554 = 25103142174
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
629 : 1, 17, 37, 629
407 : 1, 11, 37, 407
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,629,407,554, is 1.
Now, the common factors can be found like this.
177:3x 59
629:17x 37
407:11x 37
554:2x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 25103142174/(1x37)
LCM = 25103142174/37
LCM = 678463302
Thus, we can understand that the LCM of 177,629,407,554 is 678463302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 177, 629, 407, 554?
Answer: LCM of 177, 629, 407, 554 is 678463302.
2. How to calculate the LCM of 177, 629, 407, 554?
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, 629, 407, 554.
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}.