LCM of 312, 904, 826, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 904, 826, 240 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 312, 904, 826, 240. So, keep reading to learn more.
Given numbers are 312,904,826,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,904,826,240 is 145607280.
Find LCM of 312,904,826,240 with Prime Factorization
| 2 | 312, 904, 826, 240 |
| 2 | 156, 452, 413, 120 |
| 2 | 78, 226, 413, 60 |
| 3 | 39, 113, 413, 30 |
| 13, 113, 413, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 113 x 413 x 10 = 145607280
Therefore, the lowest common multiple of 312,904,826,240 is 145607280.
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.
312 x 904 x 826 x 240 = 55913195520
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
904 : 1, 2, 4, 8, 113, 226, 452, 904
826 : 1, 2, 7, 14, 59, 118, 413, 826
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,904,826,240, is 2.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
904:2x 2x 2x 113
826:2x 7x 59
240:2x 2x 2x 2x 3x 5
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 3 = 192
Therefore, the value for common factors is 192.
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 = 55913195520/(2x192)
LCM = 55913195520/384
LCM = 145607280
Thus, we can understand that the LCM of 312,904,826,240 is 145607280.
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FAQs on LCM of 312, 904, 826, 240
1. What is the LCM of 312, 904, 826, 240?
Answer: LCM of 312, 904, 826, 240 is 145607280.
2. How to calculate the LCM of 312, 904, 826, 240?
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 312, 904, 826, 240.
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}.