LCM of 548, 704, 777, 968, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 704, 777, 968, 506 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 548, 704, 777, 968, 506. So, keep reading to learn more.
Given numbers are 548,704,777,968,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,704,777,968,506 is 18959844288.
Find LCM of 548,704,777,968,506 with Prime Factorization
| 2 | 548, 704, 777, 968, 506 |
| 2 | 274, 352, 777, 484, 253 |
| 2 | 137, 176, 777, 242, 253 |
| 11 | 137, 88, 777, 121, 253 |
| 137, 8, 777, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 137 x 8 x 777 x 11 x 23 = 18959844288
Therefore, the lowest common multiple of 548,704,777,968,506 is 18959844288.
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.
548 x 704 x 777 x 968 x 506 = 146825034166272
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.
548 : 1, 2, 4, 137, 274, 548
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
777 : 1, 3, 7, 21, 37, 111, 259, 777
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,704,777,968,506, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
704:2x 2x 2x 2x 2x 2x 11
777:3x 7x 37
968:2x 2x 2x 11x 11
506:2x 11x 23
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 2x 2x 2x 11x 11 = 7744
Therefore, the value for common factors is 7744.
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 = 146825034166272/(1x7744)
LCM = 146825034166272/7744
LCM = 18959844288
Thus, we can understand that the LCM of 548,704,777,968,506 is 18959844288.
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FAQs on LCM of 548, 704, 777, 968, 506
1. What is the LCM of 548, 704, 777, 968, 506?
Answer: LCM of 548, 704, 777, 968, 506 is 18959844288.
2. How to calculate the LCM of 548, 704, 777, 968, 506?
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 548, 704, 777, 968, 506.
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}.