LCM of 403, 540, 507, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 540, 507, 775 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, 540, 507, 775. So, keep reading to learn more.
Given numbers are 403,540,507,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,540,507,775 is 14145300.
Find LCM of 403,540,507,775 with Prime Factorization
| 3 | 403, 540, 507, 775 |
| 5 | 403, 180, 169, 775 |
| 13 | 403, 36, 169, 155 |
| 31 | 31, 36, 13, 155 |
| 1, 36, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 31 x 1 x 36 x 13 x 5 = 14145300
Therefore, the lowest common multiple of 403,540,507,775 is 14145300.
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 540 x 507 x 775 = 85508338500
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
507 : 1, 3, 13, 39, 169, 507
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,540,507,775, is 1.
Now, the common factors can be found like this.
403:13x 31
540:2x 2x 3x 3x 3x 5
507:3x 13x 13
775:5x 5x 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 5x 13x 31 = 6045
Therefore, the value for common factors is 6045.
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 = 85508338500/(1x6045)
LCM = 85508338500/6045
LCM = 14145300
Thus, we can understand that the LCM of 403,540,507,775 is 14145300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 540, 507, 775
1. What is the LCM of 403, 540, 507, 775?
Answer: LCM of 403, 540, 507, 775 is 14145300.
2. How to calculate the LCM of 403, 540, 507, 775?
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, 540, 507, 775.
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}.