LCM of 732, 390, 591, 500, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 390, 591, 500, 524 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 732, 390, 591, 500, 524. So, keep reading to learn more.
Given numbers are 732,390,591,500,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,390,591,500,524 is 30697426500.
Find LCM of 732,390,591,500,524 with Prime Factorization
| 2 | 732, 390, 591, 500, 524 |
| 2 | 366, 195, 591, 250, 262 |
| 3 | 183, 195, 591, 125, 131 |
| 5 | 61, 65, 197, 125, 131 |
| 61, 13, 197, 25, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 13 x 197 x 25 x 131 = 30697426500
Therefore, the lowest common multiple of 732,390,591,500,524 is 30697426500.
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.
732 x 390 x 591 x 500 x 524 = 44204294160000
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
591 : 1, 3, 197, 591
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,390,591,500,524, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
390:2x 3x 5x 13
591:3x 197
500:2x 2x 5x 5x 5
524:2x 2x 131
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 44204294160000/(1x1440)
LCM = 44204294160000/1440
LCM = 30697426500
Thus, we can understand that the LCM of 732,390,591,500,524 is 30697426500.
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FAQs on LCM of 732, 390, 591, 500, 524
1. What is the LCM of 732, 390, 591, 500, 524?
Answer: LCM of 732, 390, 591, 500, 524 is 30697426500.
2. How to calculate the LCM of 732, 390, 591, 500, 524?
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 732, 390, 591, 500, 524.
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}.