LCM of 905, 724, 512, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 724, 512, 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 905, 724, 512, 310. So, keep reading to learn more.
Given numbers are 905,724,512,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,724,512,310 is 14364160.
Find LCM of 905,724,512,310 with Prime Factorization
| 2 | 905, 724, 512, 310 |
| 2 | 905, 362, 256, 155 |
| 5 | 905, 181, 128, 155 |
| 181 | 181, 181, 128, 31 |
| 1, 1, 128, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 181 x 1 x 1 x 128 x 31 = 14364160
Therefore, the lowest common multiple of 905,724,512,310 is 14364160.
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.
905 x 724 x 512 x 310 = 103996518400
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.
905 : 1, 5, 181, 905
724 : 1, 2, 4, 181, 362, 724
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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 905,724,512,310, is 1.
Now, the common factors can be found like this.
905:5x 181
724:2x 2x 181
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 5x 181 = 7240
Therefore, the value for common factors is 7240.
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 = 103996518400/(1x7240)
LCM = 103996518400/7240
LCM = 14364160
Thus, we can understand that the LCM of 905,724,512,310 is 14364160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 905, 724, 512, 310
1. What is the LCM of 905, 724, 512, 310?
Answer: LCM of 905, 724, 512, 310 is 14364160.
2. How to calculate the LCM of 905, 724, 512, 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 905, 724, 512, 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}.