Find the LCM of 655, 669, 646, 667, 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 655, 669, 646, 667, 693. So, keep reading to learn more.
Given numbers are 655,669,646,667,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,669,646,667,693 is 43615188075690.
Find LCM of 655,669,646,667,693 with Prime Factorization
3 | 655, 669, 646, 667, 693 |
655, 223, 646, 667, 231 |
Multiply the prime numbers at the bottom and the left side.
3 x 655 x 223 x 646 x 667 x 231 = 43615188075690
Therefore, the lowest common multiple of 655,669,646,667,693 is 43615188075690.
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 669 x 646 x 667 x 693 = 130845564227070
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
669 : 1, 3, 223, 669
646 : 1, 2, 17, 19, 34, 38, 323, 646
667 : 1, 23, 29, 667
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 655,669,646,667,693, is 1.
Now, the common factors can be found like this.
655:5x 131
669:3x 223
646:2x 17x 19
667:23x 29
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 130845564227070/(1x3)
LCM = 130845564227070/3
LCM = 43615188075690
Thus, we can understand that the LCM of 655,669,646,667,693 is 43615188075690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 669, 646, 667, 693?
Answer: LCM of 655, 669, 646, 667, 693 is 43615188075690.
2. How to calculate the LCM of 655, 669, 646, 667, 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 655, 669, 646, 667, 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}.