LCM of 372, 371, 281, 579, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 371, 281, 579, 899 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 372, 371, 281, 579, 899. So, keep reading to learn more.
Given numbers are 372,371,281,579,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,371,281,579,899 is 217059339084.
Find LCM of 372,371,281,579,899 with Prime Factorization
| 3 | 372, 371, 281, 579, 899 |
| 31 | 124, 371, 281, 193, 899 |
| 4, 371, 281, 193, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 4 x 371 x 281 x 193 x 29 = 217059339084
Therefore, the lowest common multiple of 372,371,281,579,899 is 217059339084.
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.
372 x 371 x 281 x 579 x 899 = 20186518534812
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
371 : 1, 7, 53, 371
281 : 1, 281
579 : 1, 3, 193, 579
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,371,281,579,899, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
371:7x 53
281:281
579:3x 193
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 31 = 93
Therefore, the value for common factors is 93.
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 = 20186518534812/(1x93)
LCM = 20186518534812/93
LCM = 217059339084
Thus, we can understand that the LCM of 372,371,281,579,899 is 217059339084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 372, 371, 281, 579, 899
1. What is the LCM of 372, 371, 281, 579, 899?
Answer: LCM of 372, 371, 281, 579, 899 is 217059339084.
2. How to calculate the LCM of 372, 371, 281, 579, 899?
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 372, 371, 281, 579, 899.
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}.