Find the LCM of 702, 877, 586, 666 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 702, 877, 586, 666. So, keep reading to learn more.
Given numbers are 702,877,586,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,877,586,666 is 6674305014.
Find LCM of 702,877,586,666 with Prime Factorization
2 | 702, 877, 586, 666 |
3 | 351, 877, 293, 333 |
3 | 117, 877, 293, 111 |
39, 877, 293, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 39 x 877 x 293 x 37 = 6674305014
Therefore, the lowest common multiple of 702,877,586,666 is 6674305014.
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.
702 x 877 x 586 x 666 = 240274980504
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
877 : 1, 877
586 : 1, 2, 293, 586
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,877,586,666, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
877:877
586:2x 293
666:2x 3x 3x 37
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 3 = 36
Therefore, the value for common factors is 36.
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 = 240274980504/(1x36)
LCM = 240274980504/36
LCM = 6674305014
Thus, we can understand that the LCM of 702,877,586,666 is 6674305014.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 877, 586, 666?
Answer: LCM of 702, 877, 586, 666 is 6674305014.
2. How to calculate the LCM of 702, 877, 586, 666?
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 702, 877, 586, 666.
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}.