LCM of 504, 807, 494, 351, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 807, 494, 351, 653 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 504, 807, 494, 351, 653. So, keep reading to learn more.
Given numbers are 504,807,494,351,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,807,494,351,653 is 65601565848.
Find LCM of 504,807,494,351,653 with Prime Factorization
| 2 | 504, 807, 494, 351, 653 |
| 3 | 252, 807, 247, 351, 653 |
| 3 | 84, 269, 247, 117, 653 |
| 13 | 28, 269, 247, 39, 653 |
| 28, 269, 19, 3, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 28 x 269 x 19 x 3 x 653 = 65601565848
Therefore, the lowest common multiple of 504,807,494,351,653 is 65601565848.
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.
504 x 807 x 494 x 351 x 653 = 46052299225296
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.
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
807 : 1, 3, 269, 807
494 : 1, 2, 13, 19, 26, 38, 247, 494
351 : 1, 3, 9, 13, 27, 39, 117, 351
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,807,494,351,653, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
807:3x 269
494:2x 13x 19
351:3x 3x 3x 13
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 46052299225296/(1x702)
LCM = 46052299225296/702
LCM = 65601565848
Thus, we can understand that the LCM of 504,807,494,351,653 is 65601565848.
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FAQs on LCM of 504, 807, 494, 351, 653
1. What is the LCM of 504, 807, 494, 351, 653?
Answer: LCM of 504, 807, 494, 351, 653 is 65601565848.
2. How to calculate the LCM of 504, 807, 494, 351, 653?
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 504, 807, 494, 351, 653.
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}.