LCM of 732, 240, 383, 616, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 240, 383, 616, 796 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, 240, 383, 616, 796. So, keep reading to learn more.
Given numbers are 732,240,383,616,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,240,383,616,796 is 85917899760.
Find LCM of 732,240,383,616,796 with Prime Factorization
| 2 | 732, 240, 383, 616, 796 |
| 2 | 366, 120, 383, 308, 398 |
| 2 | 183, 60, 383, 154, 199 |
| 3 | 183, 30, 383, 77, 199 |
| 61, 10, 383, 77, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 61 x 10 x 383 x 77 x 199 = 85917899760
Therefore, the lowest common multiple of 732,240,383,616,796 is 85917899760.
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 240 x 383 x 616 x 796 = 32992473507840
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
383 : 1, 383
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,240,383,616,796, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
240:2x 2x 2x 2x 3x 5
383:383
616:2x 2x 2x 7x 11
796:2x 2x 199
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 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 32992473507840/(1x384)
LCM = 32992473507840/384
LCM = 85917899760
Thus, we can understand that the LCM of 732,240,383,616,796 is 85917899760.
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FAQs on LCM of 732, 240, 383, 616, 796
1. What is the LCM of 732, 240, 383, 616, 796?
Answer: LCM of 732, 240, 383, 616, 796 is 85917899760.
2. How to calculate the LCM of 732, 240, 383, 616, 796?
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, 240, 383, 616, 796.
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}.