Find the LCM of 668, 420, 107, 611, 715 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 668, 420, 107, 611, 715. So, keep reading to learn more.
Given numbers are 668,420,107,611,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,420,107,611,715 is 50440970580.
Find LCM of 668,420,107,611,715 with Prime Factorization
2 | 668, 420, 107, 611, 715 |
2 | 334, 210, 107, 611, 715 |
5 | 167, 105, 107, 611, 715 |
13 | 167, 21, 107, 611, 143 |
167, 21, 107, 47, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 167 x 21 x 107 x 47 x 11 = 50440970580
Therefore, the lowest common multiple of 668,420,107,611,715 is 50440970580.
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.
668 x 420 x 107 x 611 x 715 = 13114652350800
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.
668 : 1, 2, 4, 167, 334, 668
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
107 : 1, 107
611 : 1, 13, 47, 611
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,420,107,611,715, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
420:2x 2x 3x 5x 7
107:107
611:13x 47
715:5x 11x 13
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 13114652350800/(1x260)
LCM = 13114652350800/260
LCM = 50440970580
Thus, we can understand that the LCM of 668,420,107,611,715 is 50440970580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 420, 107, 611, 715?
Answer: LCM of 668, 420, 107, 611, 715 is 50440970580.
2. How to calculate the LCM of 668, 420, 107, 611, 715?
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 668, 420, 107, 611, 715.
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}.