LCM of 624, 448, 974, 721, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 448, 974, 721, 546 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 624, 448, 974, 721, 546. So, keep reading to learn more.
Given numbers are 624,448,974,721,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,448,974,721,546 is 876412992.
Find LCM of 624,448,974,721,546 with Prime Factorization
| 2 | 624, 448, 974, 721, 546 |
| 2 | 312, 224, 487, 721, 273 |
| 2 | 156, 112, 487, 721, 273 |
| 2 | 78, 56, 487, 721, 273 |
| 3 | 39, 28, 487, 721, 273 |
| 7 | 13, 28, 487, 721, 91 |
| 13 | 13, 4, 487, 103, 13 |
| 1, 4, 487, 103, 1 |
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 1 x 4 x 487 x 103 x 1 = 876412992
Therefore, the lowest common multiple of 624,448,974,721,546 is 876412992.
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.
624 x 448 x 974 x 721 x 546 = 107188814573568
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
974 : 1, 2, 487, 974
721 : 1, 7, 103, 721
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,448,974,721,546, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
448:2x 2x 2x 2x 2x 2x 7
974:2x 487
721:7x 103
546:2x 3x 7x 13
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 7x 7x 13 = 122304
Therefore, the value for common factors is 122304.
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 = 107188814573568/(1x122304)
LCM = 107188814573568/122304
LCM = 876412992
Thus, we can understand that the LCM of 624,448,974,721,546 is 876412992.
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FAQs on LCM of 624, 448, 974, 721, 546
1. What is the LCM of 624, 448, 974, 721, 546?
Answer: LCM of 624, 448, 974, 721, 546 is 876412992.
2. How to calculate the LCM of 624, 448, 974, 721, 546?
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 624, 448, 974, 721, 546.
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}.