LCM of 403, 899, 337, 319, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 899, 337, 319, 101 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 403, 899, 337, 319, 101. So, keep reading to learn more.
Given numbers are 403,899,337,319,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,899,337,319,101 is 4375694609.
Find LCM of 403,899,337,319,101 with Prime Factorization
| 29 | 403, 899, 337, 319, 101 |
| 31 | 403, 31, 337, 11, 101 |
| 13, 1, 337, 11, 101 |
Multiply the prime numbers at the bottom and the left side.
29 x 31 x 13 x 1 x 337 x 11 x 101 = 4375694609
Therefore, the lowest common multiple of 403,899,337,319,101 is 4375694609.
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.
403 x 899 x 337 x 319 x 101 = 3933749453491
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.
403 : 1, 13, 31, 403
899 : 1, 29, 31, 899
337 : 1, 337
319 : 1, 11, 29, 319
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,899,337,319,101, is 1.
Now, the common factors can be found like this.
403:13x 31
899:29x 31
337:337
319:11x 29
101:101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 31 = 899
Therefore, the value for common factors is 899.
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 = 3933749453491/(1x899)
LCM = 3933749453491/899
LCM = 4375694609
Thus, we can understand that the LCM of 403,899,337,319,101 is 4375694609.
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FAQs on LCM of 403, 899, 337, 319, 101
1. What is the LCM of 403, 899, 337, 319, 101?
Answer: LCM of 403, 899, 337, 319, 101 is 4375694609.
2. How to calculate the LCM of 403, 899, 337, 319, 101?
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 403, 899, 337, 319, 101.
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}.