Find the LCM of 792, 309, 476, 860, 346 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 792, 309, 476, 860, 346. So, keep reading to learn more.
Given numbers are 792,309,476,860,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,309,476,860,346 is 361072099080.
Find LCM of 792,309,476,860,346 with Prime Factorization
2 | 792, 309, 476, 860, 346 |
2 | 396, 309, 238, 430, 173 |
3 | 198, 309, 119, 215, 173 |
66, 103, 119, 215, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 66 x 103 x 119 x 215 x 173 = 361072099080
Therefore, the lowest common multiple of 792,309,476,860,346 is 361072099080.
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.
792 x 309 x 476 x 860 x 346 = 34662921511680
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.
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
309 : 1, 3, 103, 309
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,309,476,860,346, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
309:3x 103
476:2x 2x 7x 17
860:2x 2x 5x 43
346:2x 173
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 3 = 96
Therefore, the value for common factors is 96.
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 = 34662921511680/(1x96)
LCM = 34662921511680/96
LCM = 361072099080
Thus, we can understand that the LCM of 792,309,476,860,346 is 361072099080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 792, 309, 476, 860, 346?
Answer: LCM of 792, 309, 476, 860, 346 is 361072099080.
2. How to calculate the LCM of 792, 309, 476, 860, 346?
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 792, 309, 476, 860, 346.
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}.