Find the LCM of 561, 943, 638, 701 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 561, 943, 638, 701. So, keep reading to learn more.
Given numbers are 561,943,638,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,943,638,701 is 21509017134.
Find LCM of 561,943,638,701 with Prime Factorization
11 | 561, 943, 638, 701 |
51, 943, 58, 701 |
Multiply the prime numbers at the bottom and the left side.
11 x 51 x 943 x 58 x 701 = 21509017134
Therefore, the lowest common multiple of 561,943,638,701 is 21509017134.
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.
561 x 943 x 638 x 701 = 236599188474
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
943 : 1, 23, 41, 943
638 : 1, 2, 11, 22, 29, 58, 319, 638
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,943,638,701, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
943:23x 41
638:2x 11x 29
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 236599188474/(1x11)
LCM = 236599188474/11
LCM = 21509017134
Thus, we can understand that the LCM of 561,943,638,701 is 21509017134.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 943, 638, 701?
Answer: LCM of 561, 943, 638, 701 is 21509017134.
2. How to calculate the LCM of 561, 943, 638, 701?
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 561, 943, 638, 701.
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}.