LCM of 403, 105, 651, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 105, 651, 348 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, 105, 651, 348. So, keep reading to learn more.
Given numbers are 403,105,651,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,105,651,348 is 4908540.
Find LCM of 403,105,651,348 with Prime Factorization
| 3 | 403, 105, 651, 348 |
| 7 | 403, 35, 217, 116 |
| 31 | 403, 5, 31, 116 |
| 13, 5, 1, 116 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 31 x 13 x 5 x 1 x 116 = 4908540
Therefore, the lowest common multiple of 403,105,651,348 is 4908540.
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 105 x 651 x 348 = 9586378620
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
651 : 1, 3, 7, 21, 31, 93, 217, 651
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,105,651,348, is 1.
Now, the common factors can be found like this.
403:13x 31
105:3x 5x 7
651:3x 7x 31
348:2x 2x 3x 29
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 31 = 1953
Therefore, the value for common factors is 1953.
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 = 9586378620/(1x1953)
LCM = 9586378620/1953
LCM = 4908540
Thus, we can understand that the LCM of 403,105,651,348 is 4908540.
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FAQs on LCM of 403, 105, 651, 348
1. What is the LCM of 403, 105, 651, 348?
Answer: LCM of 403, 105, 651, 348 is 4908540.
2. How to calculate the LCM of 403, 105, 651, 348?
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, 105, 651, 348.
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}.