LCM of 584, 533, 468, 467, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 533, 468, 467, 945 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, 533, 468, 467, 945. So, keep reading to learn more.
Given numbers are 584,533,468,467,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,533,468,467,945 is 137369002680.
Find LCM of 584,533,468,467,945 with Prime Factorization
| 2 | 584, 533, 468, 467, 945 |
| 2 | 292, 533, 234, 467, 945 |
| 3 | 146, 533, 117, 467, 945 |
| 3 | 146, 533, 39, 467, 315 |
| 13 | 146, 533, 13, 467, 105 |
| 146, 41, 1, 467, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 146 x 41 x 1 x 467 x 105 = 137369002680
Therefore, the lowest common multiple of 584,533,468,467,945 is 137369002680.
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 533 x 468 x 467 x 945 = 64288693254240
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
533 : 1, 13, 41, 533
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
467 : 1, 467
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,533,468,467,945, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
533:13x 41
468:2x 2x 3x 3x 13
467:467
945:3x 3x 3x 5x 7
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 64288693254240/(1x468)
LCM = 64288693254240/468
LCM = 137369002680
Thus, we can understand that the LCM of 584,533,468,467,945 is 137369002680.
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FAQs on LCM of 584, 533, 468, 467, 945
1. What is the LCM of 584, 533, 468, 467, 945?
Answer: LCM of 584, 533, 468, 467, 945 is 137369002680.
2. How to calculate the LCM of 584, 533, 468, 467, 945?
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, 533, 468, 467, 945.
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}.