Find the LCM of 414, 109, 546, 194, 693 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 414, 109, 546, 194, 693. So, keep reading to learn more.
Given numbers are 414,109,546,194,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,109,546,194,693 is 4381599222.
Find LCM of 414,109,546,194,693 with Prime Factorization
2 | 414, 109, 546, 194, 693 |
3 | 207, 109, 273, 97, 693 |
3 | 69, 109, 91, 97, 231 |
7 | 23, 109, 91, 97, 77 |
23, 109, 13, 97, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 23 x 109 x 13 x 97 x 11 = 4381599222
Therefore, the lowest common multiple of 414,109,546,194,693 is 4381599222.
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.
414 x 109 x 546 x 194 x 693 = 3312489011832
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
109 : 1, 109
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
194 : 1, 2, 97, 194
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,109,546,194,693, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
109:109
546:2x 3x 7x 13
194:2x 97
693:3x 3x 7x 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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 3312489011832/(1x756)
LCM = 3312489011832/756
LCM = 4381599222
Thus, we can understand that the LCM of 414,109,546,194,693 is 4381599222.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 109, 546, 194, 693?
Answer: LCM of 414, 109, 546, 194, 693 is 4381599222.
2. How to calculate the LCM of 414, 109, 546, 194, 693?
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 414, 109, 546, 194, 693.
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}.