LCM of 984, 435, 467, 583, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 435, 467, 583, 500 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 984, 435, 467, 583, 500. So, keep reading to learn more.
Given numbers are 984,435,467,583,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,435,467,583,500 is 971154987000.
Find LCM of 984,435,467,583,500 with Prime Factorization
| 2 | 984, 435, 467, 583, 500 |
| 2 | 492, 435, 467, 583, 250 |
| 3 | 246, 435, 467, 583, 125 |
| 5 | 82, 145, 467, 583, 125 |
| 82, 29, 467, 583, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 82 x 29 x 467 x 583 x 25 = 971154987000
Therefore, the lowest common multiple of 984,435,467,583,500 is 971154987000.
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.
984 x 435 x 467 x 583 x 500 = 58269299220000
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
435 : 1, 3, 5, 15, 29, 87, 145, 435
467 : 1, 467
583 : 1, 11, 53, 583
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,435,467,583,500, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
435:3x 5x 29
467:467
583:11x 53
500:2x 2x 5x 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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 58269299220000/(1x60)
LCM = 58269299220000/60
LCM = 971154987000
Thus, we can understand that the LCM of 984,435,467,583,500 is 971154987000.
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FAQs on LCM of 984, 435, 467, 583, 500
1. What is the LCM of 984, 435, 467, 583, 500?
Answer: LCM of 984, 435, 467, 583, 500 is 971154987000.
2. How to calculate the LCM of 984, 435, 467, 583, 500?
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 984, 435, 467, 583, 500.
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}.