LCM of 483, 847, 592, 303, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 483, 847, 592, 303, 981 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 483, 847, 592, 303, 981. So, keep reading to learn more.
Given numbers are 483,847,592,303,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,847,592,303,981 is 1142676600912.
Find LCM of 483,847,592,303,981 with Prime Factorization
| 3 | 483, 847, 592, 303, 981 |
| 7 | 161, 847, 592, 101, 327 |
| 23, 121, 592, 101, 327 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 121 x 592 x 101 x 327 = 1142676600912
Therefore, the lowest common multiple of 483,847,592,303,981 is 1142676600912.
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.
483 x 847 x 592 x 303 x 981 = 71988625857456
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
847 : 1, 7, 11, 77, 121, 847
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
303 : 1, 3, 101, 303
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,847,592,303,981, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
847:7x 11x 11
592:2x 2x 2x 2x 37
303:3x 101
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 71988625857456/(1x63)
LCM = 71988625857456/63
LCM = 1142676600912
Thus, we can understand that the LCM of 483,847,592,303,981 is 1142676600912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 483, 847, 592, 303, 981
1. What is the LCM of 483, 847, 592, 303, 981?
Answer: LCM of 483, 847, 592, 303, 981 is 1142676600912.
2. How to calculate the LCM of 483, 847, 592, 303, 981?
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 483, 847, 592, 303, 981.
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}.