LCM of 777, 649, 896, 484, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 649, 896, 484, 666 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 777, 649, 896, 484, 666. So, keep reading to learn more.
Given numbers are 777,649,896,484,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,649,896,484,666 is 2130049152.
Find LCM of 777,649,896,484,666 with Prime Factorization
| 2 | 777, 649, 896, 484, 666 |
| 2 | 777, 649, 448, 242, 333 |
| 3 | 777, 649, 224, 121, 333 |
| 7 | 259, 649, 224, 121, 111 |
| 11 | 37, 649, 32, 121, 111 |
| 37 | 37, 59, 32, 11, 111 |
| 1, 59, 32, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 37 x 1 x 59 x 32 x 11 x 3 = 2130049152
Therefore, the lowest common multiple of 777,649,896,484,666 is 2130049152.
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.
777 x 649 x 896 x 484 x 666 = 145644240817152
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
649 : 1, 11, 59, 649
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,649,896,484,666, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
649:11x 59
896:2x 2x 2x 2x 2x 2x 2x 7
484:2x 2x 11x 11
666:2x 3x 3x 37
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 3x 7x 11x 37 = 68376
Therefore, the value for common factors is 68376.
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 = 145644240817152/(1x68376)
LCM = 145644240817152/68376
LCM = 2130049152
Thus, we can understand that the LCM of 777,649,896,484,666 is 2130049152.
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FAQs on LCM of 777, 649, 896, 484, 666
1. What is the LCM of 777, 649, 896, 484, 666?
Answer: LCM of 777, 649, 896, 484, 666 is 2130049152.
2. How to calculate the LCM of 777, 649, 896, 484, 666?
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 777, 649, 896, 484, 666.
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}.