LCM of 237, 351, 449, 349, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 351, 449, 349, 697 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 237, 351, 449, 349, 697. So, keep reading to learn more.
Given numbers are 237,351,449,349,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,351,449,349,697 is 3028577934213.
Find LCM of 237,351,449,349,697 with Prime Factorization
| 3 | 237, 351, 449, 349, 697 |
| 79, 117, 449, 349, 697 |
Multiply the prime numbers at the bottom and the left side.
3 x 79 x 117 x 449 x 349 x 697 = 3028577934213
Therefore, the lowest common multiple of 237,351,449,349,697 is 3028577934213.
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.
237 x 351 x 449 x 349 x 697 = 9085733802639
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.
237 : 1, 3, 79, 237
351 : 1, 3, 9, 13, 27, 39, 117, 351
449 : 1, 449
349 : 1, 349
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,351,449,349,697, is 1.
Now, the common factors can be found like this.
237:3x 79
351:3x 3x 3x 13
449:449
349:349
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 9085733802639/(1x3)
LCM = 9085733802639/3
LCM = 3028577934213
Thus, we can understand that the LCM of 237,351,449,349,697 is 3028577934213.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 237, 351, 449, 349, 697
1. What is the LCM of 237, 351, 449, 349, 697?
Answer: LCM of 237, 351, 449, 349, 697 is 3028577934213.
2. How to calculate the LCM of 237, 351, 449, 349, 697?
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 237, 351, 449, 349, 697.
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}.