LCM of 507, 923, 524, 616, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 923, 524, 616, 990 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 507, 923, 524, 616, 990. So, keep reading to learn more.
Given numbers are 507,923,524,616,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,923,524,616,990 is 43572208680.
Find LCM of 507,923,524,616,990 with Prime Factorization
| 2 | 507, 923, 524, 616, 990 |
| 2 | 507, 923, 262, 308, 495 |
| 3 | 507, 923, 131, 154, 495 |
| 11 | 169, 923, 131, 154, 165 |
| 13 | 169, 923, 131, 14, 15 |
| 13, 71, 131, 14, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 13 x 71 x 131 x 14 x 15 = 43572208680
Therefore, the lowest common multiple of 507,923,524,616,990 is 43572208680.
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.
507 x 923 x 524 x 616 x 990 = 149539820189760
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.
507 : 1, 3, 13, 39, 169, 507
923 : 1, 13, 71, 923
524 : 1, 2, 4, 131, 262, 524
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,923,524,616,990, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
923:13x 71
524:2x 2x 131
616:2x 2x 2x 7x 11
990:2x 3x 3x 5x 11
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 3x 11x 13 = 3432
Therefore, the value for common factors is 3432.
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 = 149539820189760/(1x3432)
LCM = 149539820189760/3432
LCM = 43572208680
Thus, we can understand that the LCM of 507,923,524,616,990 is 43572208680.
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FAQs on LCM of 507, 923, 524, 616, 990
1. What is the LCM of 507, 923, 524, 616, 990?
Answer: LCM of 507, 923, 524, 616, 990 is 43572208680.
2. How to calculate the LCM of 507, 923, 524, 616, 990?
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 507, 923, 524, 616, 990.
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}.