LCM of 140, 662, 494, 418, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 662, 494, 418, 611 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 140, 662, 494, 418, 611. So, keep reading to learn more.
Given numbers are 140,662,494,418,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,662,494,418,611 is 5917571660.
Find LCM of 140,662,494,418,611 with Prime Factorization
| 2 | 140, 662, 494, 418, 611 |
| 13 | 70, 331, 247, 209, 611 |
| 19 | 70, 331, 19, 209, 47 |
| 70, 331, 1, 11, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 70 x 331 x 1 x 11 x 47 = 5917571660
Therefore, the lowest common multiple of 140,662,494,418,611 is 5917571660.
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.
140 x 662 x 494 x 418 x 611 = 11693121600160
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
662 : 1, 2, 331, 662
494 : 1, 2, 13, 19, 26, 38, 247, 494
418 : 1, 2, 11, 19, 22, 38, 209, 418
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,662,494,418,611, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
662:2x 331
494:2x 13x 19
418:2x 11x 19
611:13x 47
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 19 = 1976
Therefore, the value for common factors is 1976.
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 = 11693121600160/(1x1976)
LCM = 11693121600160/1976
LCM = 5917571660
Thus, we can understand that the LCM of 140,662,494,418,611 is 5917571660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 140, 662, 494, 418, 611
1. What is the LCM of 140, 662, 494, 418, 611?
Answer: LCM of 140, 662, 494, 418, 611 is 5917571660.
2. How to calculate the LCM of 140, 662, 494, 418, 611?
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 140, 662, 494, 418, 611.
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}.