Find the LCM of 499, 979, 979, 877, 730 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 499, 979, 979, 877, 730. So, keep reading to learn more.
Given numbers are 499,979,979,877,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,979,979,877,730 is 312756029410.
Find LCM of 499,979,979,877,730 with Prime Factorization
11 | 499, 979, 979, 877, 730 |
89 | 499, 89, 89, 877, 730 |
499, 1, 1, 877, 730 |
Multiply the prime numbers at the bottom and the left side.
11 x 89 x 499 x 1 x 1 x 877 x 730 = 312756029410
Therefore, the lowest common multiple of 499,979,979,877,730 is 312756029410.
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.
499 x 979 x 979 x 877 x 730 = 306188152792390
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.
499 : 1, 499
979 : 1, 11, 89, 979
979 : 1, 11, 89, 979
877 : 1, 877
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,979,979,877,730, is 1.
Now, the common factors can be found like this.
499:499
979:11x 89
979:11x 89
877:877
730:2x 5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 89 = 979
Therefore, the value for common factors is 979.
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 = 306188152792390/(1x979)
LCM = 306188152792390/979
LCM = 312756029410
Thus, we can understand that the LCM of 499,979,979,877,730 is 312756029410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 499, 979, 979, 877, 730?
Answer: LCM of 499, 979, 979, 877, 730 is 312756029410.
2. How to calculate the LCM of 499, 979, 979, 877, 730?
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 499, 979, 979, 877, 730.
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}.