LCM of 270, 636, 807, 904, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 636, 807, 904, 716 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, 636, 807, 904, 716. So, keep reading to learn more.
Given numbers are 270,636,807,904,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,636,807,904,716 is 311446446120.
Find LCM of 270,636,807,904,716 with Prime Factorization
| 2 | 270, 636, 807, 904, 716 |
| 2 | 135, 318, 807, 452, 358 |
| 3 | 135, 159, 807, 226, 179 |
| 45, 53, 269, 226, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 45 x 53 x 269 x 226 x 179 = 311446446120
Therefore, the lowest common multiple of 270,636,807,904,716 is 311446446120.
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 636 x 807 x 904 x 716 = 89696576482560
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
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
807 : 1, 3, 269, 807
904 : 1, 2, 4, 8, 113, 226, 452, 904
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,636,807,904,716, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
636:2x 2x 3x 53
807:3x 269
904:2x 2x 2x 113
716:2x 2x 179
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 89696576482560/(1x288)
LCM = 89696576482560/288
LCM = 311446446120
Thus, we can understand that the LCM of 270,636,807,904,716 is 311446446120.
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FAQs on LCM of 270, 636, 807, 904, 716
1. What is the LCM of 270, 636, 807, 904, 716?
Answer: LCM of 270, 636, 807, 904, 716 is 311446446120.
2. How to calculate the LCM of 270, 636, 807, 904, 716?
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, 636, 807, 904, 716.
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}.