Find the LCM of 614, 699, 581, 149, 254 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 614, 699, 581, 149, 254. So, keep reading to learn more.
Given numbers are 614,699,581,149,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,699,581,149,254 is 4718583759918.
Find LCM of 614,699,581,149,254 with Prime Factorization
2 | 614, 699, 581, 149, 254 |
307, 699, 581, 149, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 307 x 699 x 581 x 149 x 127 = 4718583759918
Therefore, the lowest common multiple of 614,699,581,149,254 is 4718583759918.
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.
614 x 699 x 581 x 149 x 254 = 9437167519836
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.
614 : 1, 2, 307, 614
699 : 1, 3, 233, 699
581 : 1, 7, 83, 581
149 : 1, 149
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,699,581,149,254, is 1.
Now, the common factors can be found like this.
614:2x 307
699:3x 233
581:7x 83
149:149
254:2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 9437167519836/(1x2)
LCM = 9437167519836/2
LCM = 4718583759918
Thus, we can understand that the LCM of 614,699,581,149,254 is 4718583759918.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 699, 581, 149, 254?
Answer: LCM of 614, 699, 581, 149, 254 is 4718583759918.
2. How to calculate the LCM of 614, 699, 581, 149, 254?
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 614, 699, 581, 149, 254.
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}.