LCM of 649, 494, 826, 771, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 494, 826, 771, 616 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, 494, 826, 771, 616. So, keep reading to learn more.
Given numbers are 649,494,826,771,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,494,826,771,616 is 6921242328.
Find LCM of 649,494,826,771,616 with Prime Factorization
| 2 | 649, 494, 826, 771, 616 |
| 7 | 649, 247, 413, 771, 308 |
| 11 | 649, 247, 59, 771, 44 |
| 59 | 59, 247, 59, 771, 4 |
| 1, 247, 1, 771, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 59 x 1 x 247 x 1 x 771 x 4 = 6921242328
Therefore, the lowest common multiple of 649,494,826,771,616 is 6921242328.
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 494 x 826 x 771 x 616 = 125772815584416
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
826 : 1, 2, 7, 14, 59, 118, 413, 826
771 : 1, 3, 257, 771
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,494,826,771,616, is 1.
Now, the common factors can be found like this.
649:11x 59
494:2x 13x 19
826:2x 7x 59
771:3x 257
616:2x 2x 2x 7x 11
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 7x 11x 59 = 18172
Therefore, the value for common factors is 18172.
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 = 125772815584416/(1x18172)
LCM = 125772815584416/18172
LCM = 6921242328
Thus, we can understand that the LCM of 649,494,826,771,616 is 6921242328.
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FAQs on LCM of 649, 494, 826, 771, 616
1. What is the LCM of 649, 494, 826, 771, 616?
Answer: LCM of 649, 494, 826, 771, 616 is 6921242328.
2. How to calculate the LCM of 649, 494, 826, 771, 616?
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, 494, 826, 771, 616.
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}.