LCM of 493, 535, 946, 528, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 535, 946, 528, 600 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 493, 535, 946, 528, 600. So, keep reading to learn more.
Given numbers are 493,535,946,528,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,535,946,528,600 is 29941467600.
Find LCM of 493,535,946,528,600 with Prime Factorization
| 2 | 493, 535, 946, 528, 600 |
| 2 | 493, 535, 473, 264, 300 |
| 2 | 493, 535, 473, 132, 150 |
| 3 | 493, 535, 473, 66, 75 |
| 5 | 493, 535, 473, 22, 25 |
| 11 | 493, 107, 473, 22, 5 |
| 493, 107, 43, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 493 x 107 x 43 x 2 x 5 = 29941467600
Therefore, the lowest common multiple of 493,535,946,528,600 is 29941467600.
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.
493 x 535 x 946 x 528 x 600 = 79045474464000
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.
493 : 1, 17, 29, 493
535 : 1, 5, 107, 535
946 : 1, 2, 11, 22, 43, 86, 473, 946
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,535,946,528,600, is 1.
Now, the common factors can be found like this.
493:17x 29
535:5x 107
946:2x 11x 43
528:2x 2x 2x 2x 3x 11
600:2x 2x 2x 3x 5x 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 2x 2x 2x 3x 5x 11 = 2640
Therefore, the value for common factors is 2640.
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 = 79045474464000/(1x2640)
LCM = 79045474464000/2640
LCM = 29941467600
Thus, we can understand that the LCM of 493,535,946,528,600 is 29941467600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 535, 946, 528, 600
1. What is the LCM of 493, 535, 946, 528, 600?
Answer: LCM of 493, 535, 946, 528, 600 is 29941467600.
2. How to calculate the LCM of 493, 535, 946, 528, 600?
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 493, 535, 946, 528, 600.
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}.