LCM of 898, 977, 342, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 977, 342, 732 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, 977, 342, 732. So, keep reading to learn more.
Given numbers are 898,977,342,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,977,342,732 is 18303192252.
Find LCM of 898,977,342,732 with Prime Factorization
| 2 | 898, 977, 342, 732 |
| 3 | 449, 977, 171, 366 |
| 449, 977, 57, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 449 x 977 x 57 x 122 = 18303192252
Therefore, the lowest common multiple of 898,977,342,732 is 18303192252.
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 977 x 342 x 732 = 219638307024
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
977 : 1, 977
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,977,342,732, is 1.
Now, the common factors can be found like this.
898:2x 449
977:977
342:2x 3x 3x 19
732:2x 2x 3x 61
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 3 = 12
Therefore, the value for common factors is 12.
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 = 219638307024/(1x12)
LCM = 219638307024/12
LCM = 18303192252
Thus, we can understand that the LCM of 898,977,342,732 is 18303192252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 898, 977, 342, 732
1. What is the LCM of 898, 977, 342, 732?
Answer: LCM of 898, 977, 342, 732 is 18303192252.
2. How to calculate the LCM of 898, 977, 342, 732?
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, 977, 342, 732.
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}.