LCM of 807, 460, 988, 586, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 460, 988, 586, 505 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 807, 460, 988, 586, 505. So, keep reading to learn more.
Given numbers are 807,460,988,586,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,460,988,586,505 is 2713421824620.
Find LCM of 807,460,988,586,505 with Prime Factorization
| 2 | 807, 460, 988, 586, 505 |
| 2 | 807, 230, 494, 293, 505 |
| 5 | 807, 115, 247, 293, 505 |
| 807, 23, 247, 293, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 807 x 23 x 247 x 293 x 101 = 2713421824620
Therefore, the lowest common multiple of 807,460,988,586,505 is 2713421824620.
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.
807 x 460 x 988 x 586 x 505 = 108536872984800
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.
807 : 1, 3, 269, 807
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
586 : 1, 2, 293, 586
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,460,988,586,505, is 1.
Now, the common factors can be found like this.
807:3x 269
460:2x 2x 5x 23
988:2x 2x 13x 19
586:2x 293
505:5x 101
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 5 = 40
Therefore, the value for common factors is 40.
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 = 108536872984800/(1x40)
LCM = 108536872984800/40
LCM = 2713421824620
Thus, we can understand that the LCM of 807,460,988,586,505 is 2713421824620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 807, 460, 988, 586, 505
1. What is the LCM of 807, 460, 988, 586, 505?
Answer: LCM of 807, 460, 988, 586, 505 is 2713421824620.
2. How to calculate the LCM of 807, 460, 988, 586, 505?
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 807, 460, 988, 586, 505.
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}.