LCM of 270, 263, 880, 703, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 263, 880, 703, 355 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 270, 263, 880, 703, 355. So, keep reading to learn more.
Given numbers are 270,263,880,703,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,263,880,703,355 is 311900347440.
Find LCM of 270,263,880,703,355 with Prime Factorization
| 2 | 270, 263, 880, 703, 355 |
| 5 | 135, 263, 440, 703, 355 |
| 27, 263, 88, 703, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 27 x 263 x 88 x 703 x 71 = 311900347440
Therefore, the lowest common multiple of 270,263,880,703,355 is 311900347440.
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.
270 x 263 x 880 x 703 x 355 = 15595017372000
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
263 : 1, 263
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
703 : 1, 19, 37, 703
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,263,880,703,355, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
263:263
880:2x 2x 2x 2x 5x 11
703:19x 37
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 15595017372000/(1x50)
LCM = 15595017372000/50
LCM = 311900347440
Thus, we can understand that the LCM of 270,263,880,703,355 is 311900347440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 270, 263, 880, 703, 355
1. What is the LCM of 270, 263, 880, 703, 355?
Answer: LCM of 270, 263, 880, 703, 355 is 311900347440.
2. How to calculate the LCM of 270, 263, 880, 703, 355?
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 270, 263, 880, 703, 355.
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}.