LCM of 483, 689, 906, 546, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 483, 689, 906, 546, 442 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, 689, 906, 546, 442. So, keep reading to learn more.
Given numbers are 483,689,906,546,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,689,906,546,442 is 1708528458.
Find LCM of 483,689,906,546,442 with Prime Factorization
| 2 | 483, 689, 906, 546, 442 |
| 3 | 483, 689, 453, 273, 221 |
| 7 | 161, 689, 151, 91, 221 |
| 13 | 23, 689, 151, 13, 221 |
| 23, 53, 151, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 23 x 53 x 151 x 1 x 17 = 1708528458
Therefore, the lowest common multiple of 483,689,906,546,442 is 1708528458.
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 689 x 906 x 546 x 442 = 72762809969304
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
689 : 1, 13, 53, 689
906 : 1, 2, 3, 6, 151, 302, 453, 906
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,689,906,546,442, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
689:13x 53
906:2x 3x 151
546:2x 3x 7x 13
442:2x 13x 17
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 3x 3x 7x 13x 13 = 42588
Therefore, the value for common factors is 42588.
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 = 72762809969304/(1x42588)
LCM = 72762809969304/42588
LCM = 1708528458
Thus, we can understand that the LCM of 483,689,906,546,442 is 1708528458.
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FAQs on LCM of 483, 689, 906, 546, 442
1. What is the LCM of 483, 689, 906, 546, 442?
Answer: LCM of 483, 689, 906, 546, 442 is 1708528458.
2. How to calculate the LCM of 483, 689, 906, 546, 442?
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, 689, 906, 546, 442.
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}.