LCM of 533, 785, 409, 418, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 785, 409, 418, 480 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 533, 785, 409, 418, 480. So, keep reading to learn more.
Given numbers are 533,785,409,418,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,785,409,418,480 is 3433505069280.
Find LCM of 533,785,409,418,480 with Prime Factorization
| 2 | 533, 785, 409, 418, 480 |
| 5 | 533, 785, 409, 209, 240 |
| 533, 157, 409, 209, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 533 x 157 x 409 x 209 x 48 = 3433505069280
Therefore, the lowest common multiple of 533,785,409,418,480 is 3433505069280.
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.
533 x 785 x 409 x 418 x 480 = 34335050692800
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.
533 : 1, 13, 41, 533
785 : 1, 5, 157, 785
409 : 1, 409
418 : 1, 2, 11, 19, 22, 38, 209, 418
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,785,409,418,480, is 1.
Now, the common factors can be found like this.
533:13x 41
785:5x 157
409:409
418:2x 11x 19
480:2x 2x 2x 2x 2x 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.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 34335050692800/(1x10)
LCM = 34335050692800/10
LCM = 3433505069280
Thus, we can understand that the LCM of 533,785,409,418,480 is 3433505069280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 533, 785, 409, 418, 480
1. What is the LCM of 533, 785, 409, 418, 480?
Answer: LCM of 533, 785, 409, 418, 480 is 3433505069280.
2. How to calculate the LCM of 533, 785, 409, 418, 480?
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 533, 785, 409, 418, 480.
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}.