LCM of 310, 440, 209, 905, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 440, 209, 905, 862 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, 440, 209, 905, 862. So, keep reading to learn more.
Given numbers are 310,440,209,905,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,440,209,905,862 is 20217330760.
Find LCM of 310,440,209,905,862 with Prime Factorization
| 2 | 310, 440, 209, 905, 862 |
| 5 | 155, 220, 209, 905, 431 |
| 11 | 31, 44, 209, 181, 431 |
| 31, 4, 19, 181, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 31 x 4 x 19 x 181 x 431 = 20217330760
Therefore, the lowest common multiple of 310,440,209,905,862 is 20217330760.
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 440 x 209 x 905 x 862 = 22239063836000
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
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
209 : 1, 11, 19, 209
905 : 1, 5, 181, 905
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,440,209,905,862, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
440:2x 2x 2x 5x 11
209:11x 19
905:5x 181
862:2x 431
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 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 22239063836000/(1x1100)
LCM = 22239063836000/1100
LCM = 20217330760
Thus, we can understand that the LCM of 310,440,209,905,862 is 20217330760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 440, 209, 905, 862
1. What is the LCM of 310, 440, 209, 905, 862?
Answer: LCM of 310, 440, 209, 905, 862 is 20217330760.
2. How to calculate the LCM of 310, 440, 209, 905, 862?
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, 440, 209, 905, 862.
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}.