LCM of 398, 231, 597, 807, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 231, 597, 807, 749 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 398, 231, 597, 807, 749. So, keep reading to learn more.
Given numbers are 398,231,597,807,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,231,597,807,749 is 2646251454.
Find LCM of 398,231,597,807,749 with Prime Factorization
| 3 | 398, 231, 597, 807, 749 |
| 7 | 398, 77, 199, 269, 749 |
| 199 | 398, 11, 199, 269, 107 |
| 2, 11, 1, 269, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 199 x 2 x 11 x 1 x 269 x 107 = 2646251454
Therefore, the lowest common multiple of 398,231,597,807,749 is 2646251454.
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.
398 x 231 x 597 x 807 x 749 = 33176054478798
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.
398 : 1, 2, 199, 398
231 : 1, 3, 7, 11, 21, 33, 77, 231
597 : 1, 3, 199, 597
807 : 1, 3, 269, 807
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,231,597,807,749, is 1.
Now, the common factors can be found like this.
398:2x 199
231:3x 7x 11
597:3x 199
807:3x 269
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 199 = 12537
Therefore, the value for common factors is 12537.
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 = 33176054478798/(1x12537)
LCM = 33176054478798/12537
LCM = 2646251454
Thus, we can understand that the LCM of 398,231,597,807,749 is 2646251454.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 231, 597, 807, 749
1. What is the LCM of 398, 231, 597, 807, 749?
Answer: LCM of 398, 231, 597, 807, 749 is 2646251454.
2. How to calculate the LCM of 398, 231, 597, 807, 749?
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 398, 231, 597, 807, 749.
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}.