Find the LCM of 611, 184, 169, 600, 690 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 611, 184, 169, 600, 690. So, keep reading to learn more.
Given numbers are 611,184,169,600,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,184,169,600,690 is 109613400.
Find LCM of 611,184,169,600,690 with Prime Factorization
2 | 611, 184, 169, 600, 690 |
2 | 611, 92, 169, 300, 345 |
2 | 611, 46, 169, 150, 345 |
3 | 611, 23, 169, 75, 345 |
5 | 611, 23, 169, 25, 115 |
13 | 611, 23, 169, 5, 23 |
23 | 47, 23, 13, 5, 23 |
47, 1, 13, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 23 x 47 x 1 x 13 x 5 x 1 = 109613400
Therefore, the lowest common multiple of 611,184,169,600,690 is 109613400.
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.
611 x 184 x 169 x 600 x 690 = 7865857584000
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.
611 : 1, 13, 47, 611
184 : 1, 2, 4, 8, 23, 46, 92, 184
169 : 1, 13, 169
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,184,169,600,690, is 1.
Now, the common factors can be found like this.
611:13x 47
184:2x 2x 2x 23
169:13x 13
600:2x 2x 2x 3x 5x 5
690:2x 3x 5x 23
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 2x 2x 3x 5x 13x 23 = 71760
Therefore, the value for common factors is 71760.
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 = 7865857584000/(1x71760)
LCM = 7865857584000/71760
LCM = 109613400
Thus, we can understand that the LCM of 611,184,169,600,690 is 109613400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 611, 184, 169, 600, 690?
Answer: LCM of 611, 184, 169, 600, 690 is 109613400.
2. How to calculate the LCM of 611, 184, 169, 600, 690?
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 611, 184, 169, 600, 690.
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}.