LCM of 584, 425, 437, 782, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 425, 437, 782, 100 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 584, 425, 437, 782, 100. So, keep reading to learn more.
Given numbers are 584,425,437,782,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,425,437,782,100 is 108463400.
Find LCM of 584,425,437,782,100 with Prime Factorization
| 2 | 584, 425, 437, 782, 100 |
| 2 | 292, 425, 437, 391, 50 |
| 5 | 146, 425, 437, 391, 25 |
| 5 | 146, 85, 437, 391, 5 |
| 17 | 146, 17, 437, 391, 1 |
| 23 | 146, 1, 437, 23, 1 |
| 146, 1, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 17 x 23 x 146 x 1 x 19 x 1 x 1 = 108463400
Therefore, the lowest common multiple of 584,425,437,782,100 is 108463400.
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.
584 x 425 x 437 x 782 x 100 = 8481837880000
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
425 : 1, 5, 17, 25, 85, 425
437 : 1, 19, 23, 437
782 : 1, 2, 17, 23, 34, 46, 391, 782
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,425,437,782,100, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
425:5x 5x 17
437:19x 23
782:2x 17x 23
100:2x 2x 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 5x 5x 17x 23 = 78200
Therefore, the value for common factors is 78200.
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 = 8481837880000/(1x78200)
LCM = 8481837880000/78200
LCM = 108463400
Thus, we can understand that the LCM of 584,425,437,782,100 is 108463400.
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FAQs on LCM of 584, 425, 437, 782, 100
1. What is the LCM of 584, 425, 437, 782, 100?
Answer: LCM of 584, 425, 437, 782, 100 is 108463400.
2. How to calculate the LCM of 584, 425, 437, 782, 100?
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 584, 425, 437, 782, 100.
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}.