LCM of 632, 504, 834, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 504, 834, 747 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 632, 504, 834, 747. So, keep reading to learn more.
Given numbers are 632,504,834,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,504,834,747 is 459357192.
Find LCM of 632,504,834,747 with Prime Factorization
| 2 | 632, 504, 834, 747 |
| 2 | 316, 252, 417, 747 |
| 2 | 158, 126, 417, 747 |
| 3 | 79, 63, 417, 747 |
| 3 | 79, 21, 139, 249 |
| 79, 7, 139, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 79 x 7 x 139 x 83 = 459357192
Therefore, the lowest common multiple of 632,504,834,747 is 459357192.
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.
632 x 504 x 834 x 747 = 198442306944
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
834 : 1, 2, 3, 6, 139, 278, 417, 834
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,504,834,747, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
504:2x 2x 2x 3x 3x 7
834:2x 3x 139
747:3x 3x 83
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 198442306944/(1x432)
LCM = 198442306944/432
LCM = 459357192
Thus, we can understand that the LCM of 632,504,834,747 is 459357192.
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FAQs on LCM of 632, 504, 834, 747
1. What is the LCM of 632, 504, 834, 747?
Answer: LCM of 632, 504, 834, 747 is 459357192.
2. How to calculate the LCM of 632, 504, 834, 747?
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 632, 504, 834, 747.
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}.