Find the LCM of 698, 412, 577, 397 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, 412, 577, 397. So, keep reading to learn more.
Given numbers are 698,412,577,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,412,577,397 is 32937373372.
Find LCM of 698,412,577,397 with Prime Factorization
2 | 698, 412, 577, 397 |
349, 206, 577, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 349 x 206 x 577 x 397 = 32937373372
Therefore, the lowest common multiple of 698,412,577,397 is 32937373372.
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 412 x 577 x 397 = 65874746744
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
412 : 1, 2, 4, 103, 206, 412
577 : 1, 577
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,412,577,397, is 1.
Now, the common factors can be found like this.
698:2x 349
412:2x 2x 103
577:577
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 65874746744/(1x2)
LCM = 65874746744/2
LCM = 32937373372
Thus, we can understand that the LCM of 698,412,577,397 is 32937373372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 412, 577, 397?
Answer: LCM of 698, 412, 577, 397 is 32937373372.
2. How to calculate the LCM of 698, 412, 577, 397?
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, 412, 577, 397.
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}.