LCM of 403, 570, 417, 535, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 570, 417, 535, 135 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, 570, 417, 535, 135. So, keep reading to learn more.
Given numbers are 403,570,417,535,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,570,417,535,135 is 30748291470.
Find LCM of 403,570,417,535,135 with Prime Factorization
| 3 | 403, 570, 417, 535, 135 |
| 5 | 403, 190, 139, 535, 45 |
| 403, 38, 139, 107, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 403 x 38 x 139 x 107 x 9 = 30748291470
Therefore, the lowest common multiple of 403,570,417,535,135 is 30748291470.
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 570 x 417 x 535 x 135 = 6918365580750
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
417 : 1, 3, 139, 417
535 : 1, 5, 107, 535
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,570,417,535,135, is 1.
Now, the common factors can be found like this.
403:13x 31
570:2x 3x 5x 19
417:3x 139
535:5x 107
135:3x 3x 3x 5
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 6918365580750/(1x225)
LCM = 6918365580750/225
LCM = 30748291470
Thus, we can understand that the LCM of 403,570,417,535,135 is 30748291470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 570, 417, 535, 135
1. What is the LCM of 403, 570, 417, 535, 135?
Answer: LCM of 403, 570, 417, 535, 135 is 30748291470.
2. How to calculate the LCM of 403, 570, 417, 535, 135?
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, 570, 417, 535, 135.
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}.