LCM of 546, 260, 484, 964, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 260, 484, 964, 929 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 546, 260, 484, 964, 929. So, keep reading to learn more.
Given numbers are 546,260,484,964,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,260,484,964,929 is 147914506740.
Find LCM of 546,260,484,964,929 with Prime Factorization
| 2 | 546, 260, 484, 964, 929 |
| 2 | 273, 130, 242, 482, 929 |
| 13 | 273, 65, 121, 241, 929 |
| 21, 5, 121, 241, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 21 x 5 x 121 x 241 x 929 = 147914506740
Therefore, the lowest common multiple of 546,260,484,964,929 is 147914506740.
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.
546 x 260 x 484 x 964 x 929 = 61532434803840
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
964 : 1, 2, 4, 241, 482, 964
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,260,484,964,929, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
260:2x 2x 5x 13
484:2x 2x 11x 11
964:2x 2x 241
929:929
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 13 = 416
Therefore, the value for common factors is 416.
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 = 61532434803840/(1x416)
LCM = 61532434803840/416
LCM = 147914506740
Thus, we can understand that the LCM of 546,260,484,964,929 is 147914506740.
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FAQs on LCM of 546, 260, 484, 964, 929
1. What is the LCM of 546, 260, 484, 964, 929?
Answer: LCM of 546, 260, 484, 964, 929 is 147914506740.
2. How to calculate the LCM of 546, 260, 484, 964, 929?
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 546, 260, 484, 964, 929.
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}.