LCM of 858, 933, 307, 921, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 933, 307, 921, 497 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 858, 933, 307, 921, 497. So, keep reading to learn more.
Given numbers are 858,933,307,921,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,933,307,921,497 is 40713875202.
Find LCM of 858,933,307,921,497 with Prime Factorization
| 3 | 858, 933, 307, 921, 497 |
| 307 | 286, 311, 307, 307, 497 |
| 286, 311, 1, 1, 497 |
Multiply the prime numbers at the bottom and the left side.
3 x 307 x 286 x 311 x 1 x 1 x 497 = 40713875202
Therefore, the lowest common multiple of 858,933,307,921,497 is 40713875202.
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.
858 x 933 x 307 x 921 x 497 = 112492437183126
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
933 : 1, 3, 311, 933
307 : 1, 307
921 : 1, 3, 307, 921
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,933,307,921,497, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
933:3x 311
307:307
921:3x 307
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 307 = 2763
Therefore, the value for common factors is 2763.
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 = 112492437183126/(1x2763)
LCM = 112492437183126/2763
LCM = 40713875202
Thus, we can understand that the LCM of 858,933,307,921,497 is 40713875202.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 858, 933, 307, 921, 497
1. What is the LCM of 858, 933, 307, 921, 497?
Answer: LCM of 858, 933, 307, 921, 497 is 40713875202.
2. How to calculate the LCM of 858, 933, 307, 921, 497?
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 858, 933, 307, 921, 497.
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}.