LCM of 309, 862, 654, 792, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 862, 654, 792, 103 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 309, 862, 654, 792, 103. So, keep reading to learn more.
Given numbers are 309,862,654,792,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,862,654,792,103 is 3832358904.
Find LCM of 309,862,654,792,103 with Prime Factorization
| 2 | 309, 862, 654, 792, 103 |
| 3 | 309, 431, 327, 396, 103 |
| 103 | 103, 431, 109, 132, 103 |
| 1, 431, 109, 132, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 431 x 109 x 132 x 1 = 3832358904
Therefore, the lowest common multiple of 309,862,654,792,103 is 3832358904.
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.
309 x 862 x 654 x 792 x 103 = 14210386816032
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.
309 : 1, 3, 103, 309
862 : 1, 2, 431, 862
654 : 1, 2, 3, 6, 109, 218, 327, 654
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,862,654,792,103, is 1.
Now, the common factors can be found like this.
309:3x 103
862:2x 431
654:2x 3x 109
792:2x 2x 2x 3x 3x 11
103:103
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 103 = 3708
Therefore, the value for common factors is 3708.
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 = 14210386816032/(1x3708)
LCM = 14210386816032/3708
LCM = 3832358904
Thus, we can understand that the LCM of 309,862,654,792,103 is 3832358904.
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FAQs on LCM of 309, 862, 654, 792, 103
1. What is the LCM of 309, 862, 654, 792, 103?
Answer: LCM of 309, 862, 654, 792, 103 is 3832358904.
2. How to calculate the LCM of 309, 862, 654, 792, 103?
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 309, 862, 654, 792, 103.
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}.