Find the LCM of 655, 272, 901, 102, 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 655, 272, 901, 102, 242. So, keep reading to learn more.
Given numbers are 655,272,901,102,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,272,901,102,242 is 3427620240.
Find LCM of 655,272,901,102,242 with Prime Factorization
2 | 655, 272, 901, 102, 242 |
17 | 655, 136, 901, 51, 121 |
655, 8, 53, 3, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 655 x 8 x 53 x 3 x 121 = 3427620240
Therefore, the lowest common multiple of 655,272,901,102,242 is 3427620240.
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.
655 x 272 x 901 x 102 x 242 = 3962328997440
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.
655 : 1, 5, 131, 655
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
901 : 1, 17, 53, 901
102 : 1, 2, 3, 6, 17, 34, 51, 102
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 655,272,901,102,242, is 1.
Now, the common factors can be found like this.
655:5x 131
272:2x 2x 2x 2x 17
901:17x 53
102:2x 3x 17
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 2x 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 3962328997440/(1x1156)
LCM = 3962328997440/1156
LCM = 3427620240
Thus, we can understand that the LCM of 655,272,901,102,242 is 3427620240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 272, 901, 102, 242?
Answer: LCM of 655, 272, 901, 102, 242 is 3427620240.
2. How to calculate the LCM of 655, 272, 901, 102, 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 655, 272, 901, 102, 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}.