LCM of 339, 351, 372, 234, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 351, 372, 234, 788 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 339, 351, 372, 234, 788. So, keep reading to learn more.
Given numbers are 339,351,372,234,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,351,372,234,788 is 968887764.
Find LCM of 339,351,372,234,788 with Prime Factorization
| 2 | 339, 351, 372, 234, 788 |
| 2 | 339, 351, 186, 117, 394 |
| 3 | 339, 351, 93, 117, 197 |
| 3 | 113, 39, 31, 117, 197 |
| 13 | 113, 13, 31, 39, 197 |
| 113, 1, 31, 3, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 113 x 1 x 31 x 3 x 197 = 968887764
Therefore, the lowest common multiple of 339,351,372,234,788 is 968887764.
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.
339 x 351 x 372 x 234 x 788 = 8161910523936
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.
339 : 1, 3, 113, 339
351 : 1, 3, 9, 13, 27, 39, 117, 351
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,351,372,234,788, is 1.
Now, the common factors can be found like this.
339:3x 113
351:3x 3x 3x 13
372:2x 2x 3x 31
234:2x 3x 3x 13
788:2x 2x 197
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 2x 3x 3x 3x 3x 13 = 8424
Therefore, the value for common factors is 8424.
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 = 8161910523936/(1x8424)
LCM = 8161910523936/8424
LCM = 968887764
Thus, we can understand that the LCM of 339,351,372,234,788 is 968887764.
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FAQs on LCM of 339, 351, 372, 234, 788
1. What is the LCM of 339, 351, 372, 234, 788?
Answer: LCM of 339, 351, 372, 234, 788 is 968887764.
2. How to calculate the LCM of 339, 351, 372, 234, 788?
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 339, 351, 372, 234, 788.
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}.