Find the LCM of 653, 662, 706, 242 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 653, 662, 706, 242. So, keep reading to learn more.
Given numbers are 653,662,706,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,662,706,242 is 18464231918.
Find LCM of 653,662,706,242 with Prime Factorization
2 | 653, 662, 706, 242 |
653, 331, 353, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 653 x 331 x 353 x 121 = 18464231918
Therefore, the lowest common multiple of 653,662,706,242 is 18464231918.
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.
653 x 662 x 706 x 242 = 73856927672
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.
653 : 1, 653
662 : 1, 2, 331, 662
706 : 1, 2, 353, 706
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,662,706,242, is 1.
Now, the common factors can be found like this.
653:653
662:2x 331
706:2x 353
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 73856927672/(1x4)
LCM = 73856927672/4
LCM = 18464231918
Thus, we can understand that the LCM of 653,662,706,242 is 18464231918.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 662, 706, 242?
Answer: LCM of 653, 662, 706, 242 is 18464231918.
2. How to calculate the LCM of 653, 662, 706, 242?
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 653, 662, 706, 242.
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}.