Find the LCM of 929, 985, 858, 689, 693 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 929, 985, 858, 689, 693. So, keep reading to learn more.
Given numbers are 929,985,858,689,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,985,858,689,693 is 873844982010.
Find LCM of 929,985,858,689,693 with Prime Factorization
3 | 929, 985, 858, 689, 693 |
11 | 929, 985, 286, 689, 231 |
13 | 929, 985, 26, 689, 21 |
929, 985, 2, 53, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 929 x 985 x 2 x 53 x 21 = 873844982010
Therefore, the lowest common multiple of 929,985,858,689,693 is 873844982010.
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.
929 x 985 x 858 x 689 x 693 = 374879497282290
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.
929 : 1, 929
985 : 1, 5, 197, 985
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
689 : 1, 13, 53, 689
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,985,858,689,693, is 1.
Now, the common factors can be found like this.
929:929
985:5x 197
858:2x 3x 11x 13
689:13x 53
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13 = 429
Therefore, the value for common factors is 429.
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 = 374879497282290/(1x429)
LCM = 374879497282290/429
LCM = 873844982010
Thus, we can understand that the LCM of 929,985,858,689,693 is 873844982010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 929, 985, 858, 689, 693?
Answer: LCM of 929, 985, 858, 689, 693 is 873844982010.
2. How to calculate the LCM of 929, 985, 858, 689, 693?
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 929, 985, 858, 689, 693.
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}.