LCM of 898, 253, 184, 858, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 253, 184, 858, 506 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 898, 253, 184, 858, 506. So, keep reading to learn more.
Given numbers are 898,253,184,858,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,253,184,858,506 is 35442264.
Find LCM of 898,253,184,858,506 with Prime Factorization
| 2 | 898, 253, 184, 858, 506 |
| 11 | 449, 253, 92, 429, 253 |
| 23 | 449, 23, 92, 39, 23 |
| 449, 1, 4, 39, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 449 x 1 x 4 x 39 x 1 = 35442264
Therefore, the lowest common multiple of 898,253,184,858,506 is 35442264.
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.
898 x 253 x 184 x 858 x 506 = 18148991011008
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.
898 : 1, 2, 449, 898
253 : 1, 11, 23, 253
184 : 1, 2, 4, 8, 23, 46, 92, 184
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,253,184,858,506, is 1.
Now, the common factors can be found like this.
898:2x 449
253:11x 23
184:2x 2x 2x 23
858:2x 3x 11x 13
506:2x 11x 23
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 2x 11x 11x 23x 23 = 512072
Therefore, the value for common factors is 512072.
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 = 18148991011008/(1x512072)
LCM = 18148991011008/512072
LCM = 35442264
Thus, we can understand that the LCM of 898,253,184,858,506 is 35442264.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 898, 253, 184, 858, 506
1. What is the LCM of 898, 253, 184, 858, 506?
Answer: LCM of 898, 253, 184, 858, 506 is 35442264.
2. How to calculate the LCM of 898, 253, 184, 858, 506?
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 898, 253, 184, 858, 506.
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}.