LCM of 546, 448, 363, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 448, 363, 464 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, 448, 363, 464. So, keep reading to learn more.
Given numbers are 546,448,363,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,448,363,464 is 61309248.
Find LCM of 546,448,363,464 with Prime Factorization
| 2 | 546, 448, 363, 464 |
| 2 | 273, 224, 363, 232 |
| 2 | 273, 112, 363, 116 |
| 2 | 273, 56, 363, 58 |
| 3 | 273, 28, 363, 29 |
| 7 | 91, 28, 121, 29 |
| 13, 4, 121, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 13 x 4 x 121 x 29 = 61309248
Therefore, the lowest common multiple of 546,448,363,464 is 61309248.
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 448 x 363 x 464 = 41199814656
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
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
363 : 1, 3, 11, 33, 121, 363
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,448,363,464, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
448:2x 2x 2x 2x 2x 2x 7
363:3x 11x 11
464:2x 2x 2x 2x 29
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 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 41199814656/(1x672)
LCM = 41199814656/672
LCM = 61309248
Thus, we can understand that the LCM of 546,448,363,464 is 61309248.
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FAQs on LCM of 546, 448, 363, 464
1. What is the LCM of 546, 448, 363, 464?
Answer: LCM of 546, 448, 363, 464 is 61309248.
2. How to calculate the LCM of 546, 448, 363, 464?
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, 448, 363, 464.
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}.