Find the LCM of 657, 667, 551, 171 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 657, 667, 551, 171. So, keep reading to learn more.
Given numbers are 657,667,551,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,667,551,171 is 8326161.
Find LCM of 657,667,551,171 with Prime Factorization
3 | 657, 667, 551, 171 |
3 | 219, 667, 551, 57 |
19 | 73, 667, 551, 19 |
29 | 73, 667, 29, 1 |
73, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 29 x 73 x 23 x 1 x 1 = 8326161
Therefore, the lowest common multiple of 657,667,551,171 is 8326161.
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.
657 x 667 x 551 x 171 = 41289432399
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.
657 : 1, 3, 9, 73, 219, 657
667 : 1, 23, 29, 667
551 : 1, 19, 29, 551
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,667,551,171, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
667:23x 29
551:19x 29
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19x 29 = 4959
Therefore, the value for common factors is 4959.
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 = 41289432399/(1x4959)
LCM = 41289432399/4959
LCM = 8326161
Thus, we can understand that the LCM of 657,667,551,171 is 8326161.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 667, 551, 171?
Answer: LCM of 657, 667, 551, 171 is 8326161.
2. How to calculate the LCM of 657, 667, 551, 171?
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 657, 667, 551, 171.
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}.