LCM of 898, 272, 663, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 272, 663, 689 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, 272, 663, 689. So, keep reading to learn more.
Given numbers are 898,272,663,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,272,663,689 is 252438576.
Find LCM of 898,272,663,689 with Prime Factorization
| 2 | 898, 272, 663, 689 |
| 13 | 449, 136, 663, 689 |
| 17 | 449, 136, 51, 53 |
| 449, 8, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 449 x 8 x 3 x 53 = 252438576
Therefore, the lowest common multiple of 898,272,663,689 is 252438576.
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 272 x 663 x 689 = 111577850592
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
663 : 1, 3, 13, 17, 39, 51, 221, 663
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,272,663,689, is 1.
Now, the common factors can be found like this.
898:2x 449
272:2x 2x 2x 2x 17
663:3x 13x 17
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 111577850592/(1x442)
LCM = 111577850592/442
LCM = 252438576
Thus, we can understand that the LCM of 898,272,663,689 is 252438576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 898, 272, 663, 689
1. What is the LCM of 898, 272, 663, 689?
Answer: LCM of 898, 272, 663, 689 is 252438576.
2. How to calculate the LCM of 898, 272, 663, 689?
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, 272, 663, 689.
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}.