LCM of 974, 929, 442, 806, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 929, 442, 806, 833 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 974, 929, 442, 806, 833. So, keep reading to learn more.
Given numbers are 974,929,442,806,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,929,442,806,833 is 303755897354.
Find LCM of 974,929,442,806,833 with Prime Factorization
| 2 | 974, 929, 442, 806, 833 |
| 13 | 487, 929, 221, 403, 833 |
| 17 | 487, 929, 17, 31, 833 |
| 487, 929, 1, 31, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 487 x 929 x 1 x 31 x 49 = 303755897354
Therefore, the lowest common multiple of 974,929,442,806,833 is 303755897354.
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.
974 x 929 x 442 x 806 x 833 = 268520213260936
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.
974 : 1, 2, 487, 974
929 : 1, 929
442 : 1, 2, 13, 17, 26, 34, 221, 442
806 : 1, 2, 13, 26, 31, 62, 403, 806
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,929,442,806,833, is 1.
Now, the common factors can be found like this.
974:2x 487
929:929
442:2x 13x 17
806:2x 13x 31
833:7x 7x 17
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 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 268520213260936/(1x884)
LCM = 268520213260936/884
LCM = 303755897354
Thus, we can understand that the LCM of 974,929,442,806,833 is 303755897354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 974, 929, 442, 806, 833
1. What is the LCM of 974, 929, 442, 806, 833?
Answer: LCM of 974, 929, 442, 806, 833 is 303755897354.
2. How to calculate the LCM of 974, 929, 442, 806, 833?
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 974, 929, 442, 806, 833.
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}.