Find the LCM of 644, 619, 676, 184 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 644, 619, 676, 184. So, keep reading to learn more.
Given numbers are 644,619,676,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,619,676,184 is 134738968.
Find LCM of 644,619,676,184 with Prime Factorization
2 | 644, 619, 676, 184 |
2 | 322, 619, 338, 92 |
23 | 161, 619, 169, 46 |
7, 619, 169, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 7 x 619 x 169 x 2 = 134738968
Therefore, the lowest common multiple of 644,619,676,184 is 134738968.
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.
644 x 619 x 676 x 184 = 49583940224
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
619 : 1, 619
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,619,676,184, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
619:619
676:2x 2x 13x 13
184:2x 2x 2x 23
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 2x 23 = 368
Therefore, the value for common factors is 368.
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 = 49583940224/(1x368)
LCM = 49583940224/368
LCM = 134738968
Thus, we can understand that the LCM of 644,619,676,184 is 134738968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 644, 619, 676, 184?
Answer: LCM of 644, 619, 676, 184 is 134738968.
2. How to calculate the LCM of 644, 619, 676, 184?
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 644, 619, 676, 184.
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}.