LCM of 114, 299, 182, 920, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 299, 182, 920, 802 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 114, 299, 182, 920, 802. So, keep reading to learn more.
Given numbers are 114,299,182,920,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,299,182,920,802 is 1913588040.
Find LCM of 114,299,182,920,802 with Prime Factorization
| 2 | 114, 299, 182, 920, 802 |
| 13 | 57, 299, 91, 460, 401 |
| 23 | 57, 23, 7, 460, 401 |
| 57, 1, 7, 20, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 57 x 1 x 7 x 20 x 401 = 1913588040
Therefore, the lowest common multiple of 114,299,182,920,802 is 1913588040.
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.
114 x 299 x 182 x 920 x 802 = 4577302591680
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
299 : 1, 13, 23, 299
182 : 1, 2, 7, 13, 14, 26, 91, 182
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,299,182,920,802, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
299:13x 23
182:2x 7x 13
920:2x 2x 2x 5x 23
802:2x 401
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 4577302591680/(1x2392)
LCM = 4577302591680/2392
LCM = 1913588040
Thus, we can understand that the LCM of 114,299,182,920,802 is 1913588040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 299, 182, 920, 802
1. What is the LCM of 114, 299, 182, 920, 802?
Answer: LCM of 114, 299, 182, 920, 802 is 1913588040.
2. How to calculate the LCM of 114, 299, 182, 920, 802?
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 114, 299, 182, 920, 802.
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}.