LCM of 649, 934, 531, 487, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 934, 531, 487, 576 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 649, 934, 531, 487, 576. So, keep reading to learn more.
Given numbers are 649,934,531,487,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,934,531,487,576 is 85018418496.
Find LCM of 649,934,531,487,576 with Prime Factorization
| 2 | 649, 934, 531, 487, 576 |
| 3 | 649, 467, 531, 487, 288 |
| 3 | 649, 467, 177, 487, 96 |
| 59 | 649, 467, 59, 487, 32 |
| 11, 467, 1, 487, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 59 x 11 x 467 x 1 x 487 x 32 = 85018418496
Therefore, the lowest common multiple of 649,934,531,487,576 is 85018418496.
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.
649 x 934 x 531 x 487 x 576 = 90289560442752
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.
649 : 1, 11, 59, 649
934 : 1, 2, 467, 934
531 : 1, 3, 9, 59, 177, 531
487 : 1, 487
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,934,531,487,576, is 1.
Now, the common factors can be found like this.
649:11x 59
934:2x 467
531:3x 3x 59
487:487
576:2x 2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 59 = 1062
Therefore, the value for common factors is 1062.
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 = 90289560442752/(1x1062)
LCM = 90289560442752/1062
LCM = 85018418496
Thus, we can understand that the LCM of 649,934,531,487,576 is 85018418496.
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FAQs on LCM of 649, 934, 531, 487, 576
1. What is the LCM of 649, 934, 531, 487, 576?
Answer: LCM of 649, 934, 531, 487, 576 is 85018418496.
2. How to calculate the LCM of 649, 934, 531, 487, 576?
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 649, 934, 531, 487, 576.
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}.