LCM of 858, 957, 888, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 957, 888, 762 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, 957, 888, 762. So, keep reading to learn more.
Given numbers are 858,957,888,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,957,888,762 is 467682072.
Find LCM of 858,957,888,762 with Prime Factorization
| 2 | 858, 957, 888, 762 |
| 3 | 429, 957, 444, 381 |
| 11 | 143, 319, 148, 127 |
| 13, 29, 148, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 29 x 148 x 127 = 467682072
Therefore, the lowest common multiple of 858,957,888,762 is 467682072.
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 957 x 888 x 762 = 555606301536
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
762 : 1, 2, 3, 6, 127, 254, 381, 762
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,957,888,762, is 3.
Now, the common factors can be found like this.
858:2x 3x 11x 13
957:3x 11x 29
888:2x 2x 2x 3x 37
762:2x 3x 127
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 555606301536/(3x396)
LCM = 555606301536/1188
LCM = 467682072
Thus, we can understand that the LCM of 858,957,888,762 is 467682072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 957, 888, 762
1. What is the LCM of 858, 957, 888, 762?
Answer: LCM of 858, 957, 888, 762 is 467682072.
2. How to calculate the LCM of 858, 957, 888, 762?
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, 957, 888, 762.
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}.