LCM of 310, 560, 535, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 560, 535, 584 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 310, 560, 535, 584. So, keep reading to learn more.
Given numbers are 310,560,535,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,560,535,584 is 135598960.
Find LCM of 310,560,535,584 with Prime Factorization
| 2 | 310, 560, 535, 584 |
| 2 | 155, 280, 535, 292 |
| 2 | 155, 140, 535, 146 |
| 5 | 155, 70, 535, 73 |
| 31, 14, 107, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 31 x 14 x 107 x 73 = 135598960
Therefore, the lowest common multiple of 310,560,535,584 is 135598960.
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.
310 x 560 x 535 x 584 = 54239584000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
535 : 1, 5, 107, 535
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,560,535,584, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
560:2x 2x 2x 2x 5x 7
535:5x 107
584:2x 2x 2x 73
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 54239584000/(1x400)
LCM = 54239584000/400
LCM = 135598960
Thus, we can understand that the LCM of 310,560,535,584 is 135598960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 560, 535, 584
1. What is the LCM of 310, 560, 535, 584?
Answer: LCM of 310, 560, 535, 584 is 135598960.
2. How to calculate the LCM of 310, 560, 535, 584?
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 310, 560, 535, 584.
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}.