LCM of 856, 524, 323, 744, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 524, 323, 744, 310 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 856, 524, 323, 744, 310. So, keep reading to learn more.
Given numbers are 856,524,323,744,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,524,323,744,310 is 16842266520.
Find LCM of 856,524,323,744,310 with Prime Factorization
| 2 | 856, 524, 323, 744, 310 |
| 2 | 428, 262, 323, 372, 155 |
| 2 | 214, 131, 323, 186, 155 |
| 31 | 107, 131, 323, 93, 155 |
| 107, 131, 323, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 107 x 131 x 323 x 3 x 5 = 16842266520
Therefore, the lowest common multiple of 856,524,323,744,310 is 16842266520.
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.
856 x 524 x 323 x 744 x 310 = 33415056775680
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
524 : 1, 2, 4, 131, 262, 524
323 : 1, 17, 19, 323
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,524,323,744,310, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
524:2x 2x 131
323:17x 19
744:2x 2x 2x 3x 31
310:2x 5x 31
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 31 = 1984
Therefore, the value for common factors is 1984.
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 = 33415056775680/(1x1984)
LCM = 33415056775680/1984
LCM = 16842266520
Thus, we can understand that the LCM of 856,524,323,744,310 is 16842266520.
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FAQs on LCM of 856, 524, 323, 744, 310
1. What is the LCM of 856, 524, 323, 744, 310?
Answer: LCM of 856, 524, 323, 744, 310 is 16842266520.
2. How to calculate the LCM of 856, 524, 323, 744, 310?
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 856, 524, 323, 744, 310.
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}.