LCM of 477, 966, 767, 832, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 966, 767, 832, 549 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 477, 966, 767, 832, 549. So, keep reading to learn more.
Given numbers are 477,966,767,832,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,966,767,832,549 is 229958479296.
Find LCM of 477,966,767,832,549 with Prime Factorization
| 2 | 477, 966, 767, 832, 549 |
| 3 | 477, 483, 767, 416, 549 |
| 3 | 159, 161, 767, 416, 183 |
| 13 | 53, 161, 767, 416, 61 |
| 53, 161, 59, 32, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 53 x 161 x 59 x 32 x 61 = 229958479296
Therefore, the lowest common multiple of 477,966,767,832,549 is 229958479296.
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.
477 x 966 x 767 x 832 x 549 = 161430852465792
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.
477 : 1, 3, 9, 53, 159, 477
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
767 : 1, 13, 59, 767
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,966,767,832,549, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
966:2x 3x 7x 23
767:13x 59
832:2x 2x 2x 2x 2x 2x 13
549:3x 3x 61
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 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 161430852465792/(1x702)
LCM = 161430852465792/702
LCM = 229958479296
Thus, we can understand that the LCM of 477,966,767,832,549 is 229958479296.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 477, 966, 767, 832, 549
1. What is the LCM of 477, 966, 767, 832, 549?
Answer: LCM of 477, 966, 767, 832, 549 is 229958479296.
2. How to calculate the LCM of 477, 966, 767, 832, 549?
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 477, 966, 767, 832, 549.
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}.