LCM of 858, 189, 893, 901, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 189, 893, 901, 876 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, 189, 893, 901, 876. So, keep reading to learn more.
Given numbers are 858,189,893,901,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,189,893,901,876 is 6349754623212.
Find LCM of 858,189,893,901,876 with Prime Factorization
| 2 | 858, 189, 893, 901, 876 |
| 3 | 429, 189, 893, 901, 438 |
| 143, 63, 893, 901, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 63 x 893 x 901 x 146 = 6349754623212
Therefore, the lowest common multiple of 858,189,893,901,876 is 6349754623212.
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 189 x 893 x 901 x 876 = 114295583217816
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
893 : 1, 19, 47, 893
901 : 1, 17, 53, 901
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,189,893,901,876, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
189:3x 3x 3x 7
893:19x 47
901:17x 53
876:2x 2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 114295583217816/(1x18)
LCM = 114295583217816/18
LCM = 6349754623212
Thus, we can understand that the LCM of 858,189,893,901,876 is 6349754623212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 189, 893, 901, 876
1. What is the LCM of 858, 189, 893, 901, 876?
Answer: LCM of 858, 189, 893, 901, 876 is 6349754623212.
2. How to calculate the LCM of 858, 189, 893, 901, 876?
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, 189, 893, 901, 876.
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}.