Find the LCM of 720, 342, 453, 579, 979 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 720, 342, 453, 579, 979. So, keep reading to learn more.
Given numbers are 720,342,453,579,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,342,453,579,979 is 390304038960.
Find LCM of 720,342,453,579,979 with Prime Factorization
2 | 720, 342, 453, 579, 979 |
3 | 360, 171, 453, 579, 979 |
3 | 120, 57, 151, 193, 979 |
40, 19, 151, 193, 979 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 40 x 19 x 151 x 193 x 979 = 390304038960
Therefore, the lowest common multiple of 720,342,453,579,979 is 390304038960.
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.
720 x 342 x 453 x 579 x 979 = 63229254311520
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
453 : 1, 3, 151, 453
579 : 1, 3, 193, 579
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,342,453,579,979, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
342:2x 3x 3x 19
453:3x 151
579:3x 193
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 63229254311520/(1x162)
LCM = 63229254311520/162
LCM = 390304038960
Thus, we can understand that the LCM of 720,342,453,579,979 is 390304038960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 342, 453, 579, 979?
Answer: LCM of 720, 342, 453, 579, 979 is 390304038960.
2. How to calculate the LCM of 720, 342, 453, 579, 979?
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 720, 342, 453, 579, 979.
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}.