Find the LCM of 397, 662, 955, 214, 589 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 397, 662, 955, 214, 589. So, keep reading to learn more.
Given numbers are 397,662,955,214,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,662,955,214,589 is 15817977019510.
Find LCM of 397,662,955,214,589 with Prime Factorization
2 | 397, 662, 955, 214, 589 |
397, 331, 955, 107, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 397 x 331 x 955 x 107 x 589 = 15817977019510
Therefore, the lowest common multiple of 397,662,955,214,589 is 15817977019510.
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.
397 x 662 x 955 x 214 x 589 = 31635954039020
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.
397 : 1, 397
662 : 1, 2, 331, 662
955 : 1, 5, 191, 955
214 : 1, 2, 107, 214
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,662,955,214,589, is 1.
Now, the common factors can be found like this.
397:397
662:2x 331
955:5x 191
214:2x 107
589:19x 31
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 = 31635954039020/(1x2)
LCM = 31635954039020/2
LCM = 15817977019510
Thus, we can understand that the LCM of 397,662,955,214,589 is 15817977019510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 662, 955, 214, 589?
Answer: LCM of 397, 662, 955, 214, 589 is 15817977019510.
2. How to calculate the LCM of 397, 662, 955, 214, 589?
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 397, 662, 955, 214, 589.
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}.