LCM of 403, 442, 456, 507, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 442, 456, 507, 475 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, 442, 456, 507, 475. So, keep reading to learn more.
Given numbers are 403,442,456,507,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,442,456,507,475 is 1015318200.
Find LCM of 403,442,456,507,475 with Prime Factorization
| 2 | 403, 442, 456, 507, 475 |
| 3 | 403, 221, 228, 507, 475 |
| 13 | 403, 221, 76, 169, 475 |
| 19 | 31, 17, 76, 13, 475 |
| 31, 17, 4, 13, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 31 x 17 x 4 x 13 x 25 = 1015318200
Therefore, the lowest common multiple of 403,442,456,507,475 is 1015318200.
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 442 x 456 x 507 x 475 = 19561120441200
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
507 : 1, 3, 13, 39, 169, 507
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,442,456,507,475, is 1.
Now, the common factors can be found like this.
403:13x 31
442:2x 13x 17
456:2x 2x 2x 3x 19
507:3x 13x 13
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13x 19 = 19266
Therefore, the value for common factors is 19266.
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 = 19561120441200/(1x19266)
LCM = 19561120441200/19266
LCM = 1015318200
Thus, we can understand that the LCM of 403,442,456,507,475 is 1015318200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 442, 456, 507, 475
1. What is the LCM of 403, 442, 456, 507, 475?
Answer: LCM of 403, 442, 456, 507, 475 is 1015318200.
2. How to calculate the LCM of 403, 442, 456, 507, 475?
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, 442, 456, 507, 475.
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}.