LCM of 502, 527, 993, 744, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 502, 527, 993, 744, 504 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 502, 527, 993, 744, 504. So, keep reading to learn more.
Given numbers are 502,527,993,744,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,527,993,744,504 is 22066978248.
Find LCM of 502,527,993,744,504 with Prime Factorization
| 2 | 502, 527, 993, 744, 504 |
| 2 | 251, 527, 993, 372, 252 |
| 2 | 251, 527, 993, 186, 126 |
| 3 | 251, 527, 993, 93, 63 |
| 31 | 251, 527, 331, 31, 21 |
| 251, 17, 331, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 251 x 17 x 331 x 1 x 21 = 22066978248
Therefore, the lowest common multiple of 502,527,993,744,504 is 22066978248.
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.
502 x 527 x 993 x 744 x 504 = 98506990899072
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.
502 : 1, 2, 251, 502
527 : 1, 17, 31, 527
993 : 1, 3, 331, 993
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,527,993,744,504, is 1.
Now, the common factors can be found like this.
502:2x 251
527:17x 31
993:3x 331
744:2x 2x 2x 3x 31
504:2x 2x 2x 3x 3x 7
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 31 = 4464
Therefore, the value for common factors is 4464.
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 = 98506990899072/(1x4464)
LCM = 98506990899072/4464
LCM = 22066978248
Thus, we can understand that the LCM of 502,527,993,744,504 is 22066978248.
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FAQs on LCM of 502, 527, 993, 744, 504
1. What is the LCM of 502, 527, 993, 744, 504?
Answer: LCM of 502, 527, 993, 744, 504 is 22066978248.
2. How to calculate the LCM of 502, 527, 993, 744, 504?
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 502, 527, 993, 744, 504.
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}.