Find the LCM of 698, 178, 872, 534 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 698, 178, 872, 534. So, keep reading to learn more.
Given numbers are 698,178,872,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,178,872,534 is 81255576.
Find LCM of 698,178,872,534 with Prime Factorization
2 | 698, 178, 872, 534 |
89 | 349, 89, 436, 267 |
349, 1, 436, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 349 x 1 x 436 x 3 = 81255576
Therefore, the lowest common multiple of 698,178,872,534 is 81255576.
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.
698 x 178 x 872 x 534 = 57853970112
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.
698 : 1, 2, 349, 698
178 : 1, 2, 89, 178
872 : 1, 2, 4, 8, 109, 218, 436, 872
534 : 1, 2, 3, 6, 89, 178, 267, 534
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,178,872,534, is 2.
Now, the common factors can be found like this.
698:2x 349
178:2x 89
872:2x 2x 2x 109
534:2x 3x 89
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 89 = 356
Therefore, the value for common factors is 356.
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 = 57853970112/(2x356)
LCM = 57853970112/712
LCM = 81255576
Thus, we can understand that the LCM of 698,178,872,534 is 81255576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 178, 872, 534?
Answer: LCM of 698, 178, 872, 534 is 81255576.
2. How to calculate the LCM of 698, 178, 872, 534?
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 698, 178, 872, 534.
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}.