Find the LCM of 177, 551, 346, 346 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, 551, 346, 346. So, keep reading to learn more.
Given numbers are 177,551,346,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,551,346,346 is 33744342.
Find LCM of 177,551,346,346 with Prime Factorization
2 | 177, 551, 346, 346 |
173 | 177, 551, 173, 173 |
177, 551, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 177 x 551 x 1 x 1 = 33744342
Therefore, the lowest common multiple of 177,551,346,346 is 33744342.
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 551 x 346 x 346 = 11675542332
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
551 : 1, 19, 29, 551
346 : 1, 2, 173, 346
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,551,346,346, is 1.
Now, the common factors can be found like this.
177:3x 59
551:19x 29
346:2x 173
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 173 = 346
Therefore, the value for common factors is 346.
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 = 11675542332/(1x346)
LCM = 11675542332/346
LCM = 33744342
Thus, we can understand that the LCM of 177,551,346,346 is 33744342.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 177, 551, 346, 346?
Answer: LCM of 177, 551, 346, 346 is 33744342.
2. How to calculate the LCM of 177, 551, 346, 346?
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, 551, 346, 346.
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}.