LCM of 929, 262, 728, 496, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 262, 728, 496, 920 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 929, 262, 728, 496, 920. So, keep reading to learn more.
Given numbers are 929,262,728,496,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,262,728,496,920 is 631695697360.
Find LCM of 929,262,728,496,920 with Prime Factorization
| 2 | 929, 262, 728, 496, 920 |
| 2 | 929, 131, 364, 248, 460 |
| 2 | 929, 131, 182, 124, 230 |
| 929, 131, 91, 62, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 929 x 131 x 91 x 62 x 115 = 631695697360
Therefore, the lowest common multiple of 929,262,728,496,920 is 631695697360.
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.
929 x 262 x 728 x 496 x 920 = 80857049262080
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.
929 : 1, 929
262 : 1, 2, 131, 262
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,262,728,496,920, is 1.
Now, the common factors can be found like this.
929:929
262:2x 131
728:2x 2x 2x 7x 13
496:2x 2x 2x 2x 31
920:2x 2x 2x 5x 23
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 2 = 128
Therefore, the value for common factors is 128.
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 = 80857049262080/(1x128)
LCM = 80857049262080/128
LCM = 631695697360
Thus, we can understand that the LCM of 929,262,728,496,920 is 631695697360.
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FAQs on LCM of 929, 262, 728, 496, 920
1. What is the LCM of 929, 262, 728, 496, 920?
Answer: LCM of 929, 262, 728, 496, 920 is 631695697360.
2. How to calculate the LCM of 929, 262, 728, 496, 920?
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 929, 262, 728, 496, 920.
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}.