LCM of 496, 774, 982, 480, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 774, 982, 480, 545 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 496, 774, 982, 480, 545. So, keep reading to learn more.
Given numbers are 496,774,982,480,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,774,982,480,545 is 102730790880.
Find LCM of 496,774,982,480,545 with Prime Factorization
| 2 | 496, 774, 982, 480, 545 |
| 2 | 248, 387, 491, 240, 545 |
| 2 | 124, 387, 491, 120, 545 |
| 2 | 62, 387, 491, 60, 545 |
| 3 | 31, 387, 491, 30, 545 |
| 5 | 31, 129, 491, 10, 545 |
| 31, 129, 491, 2, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 31 x 129 x 491 x 2 x 109 = 102730790880
Therefore, the lowest common multiple of 496,774,982,480,545 is 102730790880.
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.
496 x 774 x 982 x 480 x 545 = 98621559244800
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
982 : 1, 2, 491, 982
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,774,982,480,545, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
774:2x 3x 3x 43
982:2x 491
480:2x 2x 2x 2x 2x 3x 5
545:5x 109
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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 98621559244800/(1x960)
LCM = 98621559244800/960
LCM = 102730790880
Thus, we can understand that the LCM of 496,774,982,480,545 is 102730790880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 496, 774, 982, 480, 545
1. What is the LCM of 496, 774, 982, 480, 545?
Answer: LCM of 496, 774, 982, 480, 545 is 102730790880.
2. How to calculate the LCM of 496, 774, 982, 480, 545?
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 496, 774, 982, 480, 545.
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}.