LCM of 920, 483, 848, 944, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 483, 848, 944, 365 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 920, 483, 848, 944, 365. So, keep reading to learn more.
Given numbers are 920,483,848,944,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,483,848,944,365 is 8820391440.
Find LCM of 920,483,848,944,365 with Prime Factorization
| 2 | 920, 483, 848, 944, 365 |
| 2 | 460, 483, 424, 472, 365 |
| 2 | 230, 483, 212, 236, 365 |
| 2 | 115, 483, 106, 118, 365 |
| 5 | 115, 483, 53, 59, 365 |
| 23 | 23, 483, 53, 59, 73 |
| 1, 21, 53, 59, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 23 x 1 x 21 x 53 x 59 x 73 = 8820391440
Therefore, the lowest common multiple of 920,483,848,944,365 is 8820391440.
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.
920 x 483 x 848 x 944 x 365 = 129836161996800
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
483 : 1, 3, 7, 21, 23, 69, 161, 483
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,483,848,944,365, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
483:3x 7x 23
848:2x 2x 2x 2x 53
944:2x 2x 2x 2x 59
365:5x 73
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 5x 23 = 14720
Therefore, the value for common factors is 14720.
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 = 129836161996800/(1x14720)
LCM = 129836161996800/14720
LCM = 8820391440
Thus, we can understand that the LCM of 920,483,848,944,365 is 8820391440.
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FAQs on LCM of 920, 483, 848, 944, 365
1. What is the LCM of 920, 483, 848, 944, 365?
Answer: LCM of 920, 483, 848, 944, 365 is 8820391440.
2. How to calculate the LCM of 920, 483, 848, 944, 365?
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 920, 483, 848, 944, 365.
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}.