Find the LCM of 347, 204, 121, 347, 545 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 347, 204, 121, 347, 545. So, keep reading to learn more.
Given numbers are 347,204,121,347,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,204,121,347,545 is 4668114660.
Find LCM of 347,204,121,347,545 with Prime Factorization
347 | 347, 204, 121, 347, 545 |
1, 204, 121, 1, 545 |
Multiply the prime numbers at the bottom and the left side.
347 x 1 x 204 x 121 x 1 x 545 = 4668114660
Therefore, the lowest common multiple of 347,204,121,347,545 is 4668114660.
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.
347 x 204 x 121 x 347 x 545 = 1619835787020
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.
347 : 1, 347
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
121 : 1, 11, 121
347 : 1, 347
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,204,121,347,545, is 1.
Now, the common factors can be found like this.
347:347
204:2x 2x 3x 17
121:11x 11
347:347
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
347 = 347
Therefore, the value for common factors is 347.
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 = 1619835787020/(1x347)
LCM = 1619835787020/347
LCM = 4668114660
Thus, we can understand that the LCM of 347,204,121,347,545 is 4668114660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 204, 121, 347, 545?
Answer: LCM of 347, 204, 121, 347, 545 is 4668114660.
2. How to calculate the LCM of 347, 204, 121, 347, 545?
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 347, 204, 121, 347, 545.
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}.