LCM of 418, 711, 840, 247, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 711, 840, 247, 877 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 418, 711, 840, 247, 877. So, keep reading to learn more.
Given numbers are 418,711,840,247,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,711,840,247,877 is 474369615720.
Find LCM of 418,711,840,247,877 with Prime Factorization
| 2 | 418, 711, 840, 247, 877 |
| 3 | 209, 711, 420, 247, 877 |
| 19 | 209, 237, 140, 247, 877 |
| 11, 237, 140, 13, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 11 x 237 x 140 x 13 x 877 = 474369615720
Therefore, the lowest common multiple of 418,711,840,247,877 is 474369615720.
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.
418 x 711 x 840 x 247 x 877 = 54078136192080
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
711 : 1, 3, 9, 79, 237, 711
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
247 : 1, 13, 19, 247
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,711,840,247,877, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
711:3x 3x 79
840:2x 2x 2x 3x 5x 7
247:13x 19
877:877
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 54078136192080/(1x114)
LCM = 54078136192080/114
LCM = 474369615720
Thus, we can understand that the LCM of 418,711,840,247,877 is 474369615720.
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FAQs on LCM of 418, 711, 840, 247, 877
1. What is the LCM of 418, 711, 840, 247, 877?
Answer: LCM of 418, 711, 840, 247, 877 is 474369615720.
2. How to calculate the LCM of 418, 711, 840, 247, 877?
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 418, 711, 840, 247, 877.
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}.