Find the LCM of 790, 206, 229, 824, 651 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 790, 206, 229, 824, 651. So, keep reading to learn more.
Given numbers are 790,206,229,824,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,206,229,824,651 is 48522232920.
Find LCM of 790,206,229,824,651 with Prime Factorization
2 | 790, 206, 229, 824, 651 |
103 | 395, 103, 229, 412, 651 |
395, 1, 229, 4, 651 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 395 x 1 x 229 x 4 x 651 = 48522232920
Therefore, the lowest common multiple of 790,206,229,824,651 is 48522232920.
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.
790 x 206 x 229 x 824 x 651 = 19991159963040
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
206 : 1, 2, 103, 206
229 : 1, 229
824 : 1, 2, 4, 8, 103, 206, 412, 824
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,206,229,824,651, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
206:2x 103
229:229
824:2x 2x 2x 103
651:3x 7x 31
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 103 = 412
Therefore, the value for common factors is 412.
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 = 19991159963040/(1x412)
LCM = 19991159963040/412
LCM = 48522232920
Thus, we can understand that the LCM of 790,206,229,824,651 is 48522232920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 790, 206, 229, 824, 651?
Answer: LCM of 790, 206, 229, 824, 651 is 48522232920.
2. How to calculate the LCM of 790, 206, 229, 824, 651?
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 790, 206, 229, 824, 651.
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}.