LCM of 858, 767, 649, 879, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 767, 649, 879, 433 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, 767, 649, 879, 433. So, keep reading to learn more.
Given numbers are 858,767,649,879,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,767,649,879,433 is 6422362518.
Find LCM of 858,767,649,879,433 with Prime Factorization
| 3 | 858, 767, 649, 879, 433 |
| 11 | 286, 767, 649, 293, 433 |
| 13 | 26, 767, 59, 293, 433 |
| 59 | 2, 59, 59, 293, 433 |
| 2, 1, 1, 293, 433 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 59 x 2 x 1 x 1 x 293 x 433 = 6422362518
Therefore, the lowest common multiple of 858,767,649,879,433 is 6422362518.
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 767 x 649 x 879 x 433 = 162556417693098
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
767 : 1, 13, 59, 767
649 : 1, 11, 59, 649
879 : 1, 3, 293, 879
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,767,649,879,433, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
767:13x 59
649:11x 59
879:3x 293
433:433
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 13x 59 = 25311
Therefore, the value for common factors is 25311.
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 = 162556417693098/(1x25311)
LCM = 162556417693098/25311
LCM = 6422362518
Thus, we can understand that the LCM of 858,767,649,879,433 is 6422362518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 767, 649, 879, 433
1. What is the LCM of 858, 767, 649, 879, 433?
Answer: LCM of 858, 767, 649, 879, 433 is 6422362518.
2. How to calculate the LCM of 858, 767, 649, 879, 433?
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, 767, 649, 879, 433.
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}.