LCM of 901, 534, 858, 935, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 534, 858, 935, 956 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 901, 534, 858, 935, 956. So, keep reading to learn more.
Given numbers are 901,534,858,935,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,534,858,935,956 is 164437167180.
Find LCM of 901,534,858,935,956 with Prime Factorization
| 2 | 901, 534, 858, 935, 956 |
| 3 | 901, 267, 429, 935, 478 |
| 11 | 901, 89, 143, 935, 478 |
| 17 | 901, 89, 13, 85, 478 |
| 53, 89, 13, 5, 478 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 53 x 89 x 13 x 5 x 478 = 164437167180
Therefore, the lowest common multiple of 901,534,858,935,956 is 164437167180.
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.
901 x 534 x 858 x 935 x 956 = 368997003151920
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.
901 : 1, 17, 53, 901
534 : 1, 2, 3, 6, 89, 178, 267, 534
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
935 : 1, 5, 11, 17, 55, 85, 187, 935
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,534,858,935,956, is 1.
Now, the common factors can be found like this.
901:17x 53
534:2x 3x 89
858:2x 3x 11x 13
935:5x 11x 17
956:2x 2x 239
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 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 368997003151920/(1x2244)
LCM = 368997003151920/2244
LCM = 164437167180
Thus, we can understand that the LCM of 901,534,858,935,956 is 164437167180.
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FAQs on LCM of 901, 534, 858, 935, 956
1. What is the LCM of 901, 534, 858, 935, 956?
Answer: LCM of 901, 534, 858, 935, 956 is 164437167180.
2. How to calculate the LCM of 901, 534, 858, 935, 956?
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 901, 534, 858, 935, 956.
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}.