Find the LCM of 799, 714, 826, 970, 472 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 799, 714, 826, 970, 472. So, keep reading to learn more.
Given numbers are 799,714,826,970,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,714,826,970,472 is 3841048680.
Find LCM of 799,714,826,970,472 with Prime Factorization
2 | 799, 714, 826, 970, 472 |
7 | 799, 357, 413, 485, 236 |
17 | 799, 51, 59, 485, 236 |
59 | 47, 3, 59, 485, 236 |
47, 3, 1, 485, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 59 x 47 x 3 x 1 x 485 x 4 = 3841048680
Therefore, the lowest common multiple of 799,714,826,970,472 is 3841048680.
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.
799 x 714 x 826 x 970 x 472 = 215744022258240
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.
799 : 1, 17, 47, 799
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
826 : 1, 2, 7, 14, 59, 118, 413, 826
970 : 1, 2, 5, 10, 97, 194, 485, 970
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,714,826,970,472, is 1.
Now, the common factors can be found like this.
799:17x 47
714:2x 3x 7x 17
826:2x 7x 59
970:2x 5x 97
472:2x 2x 2x 59
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 2x 7x 17x 59 = 56168
Therefore, the value for common factors is 56168.
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 = 215744022258240/(1x56168)
LCM = 215744022258240/56168
LCM = 3841048680
Thus, we can understand that the LCM of 799,714,826,970,472 is 3841048680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 714, 826, 970, 472?
Answer: LCM of 799, 714, 826, 970, 472 is 3841048680.
2. How to calculate the LCM of 799, 714, 826, 970, 472?
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 799, 714, 826, 970, 472.
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}.