LCM of 946, 671, 986, 550, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 671, 986, 550, 782 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 946, 671, 986, 550, 782. So, keep reading to learn more.
Given numbers are 946,671,986,550,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,671,986,550,782 is 16358208350.
Find LCM of 946,671,986,550,782 with Prime Factorization
| 2 | 946, 671, 986, 550, 782 |
| 11 | 473, 671, 493, 275, 391 |
| 17 | 43, 61, 493, 25, 391 |
| 43, 61, 29, 25, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 43 x 61 x 29 x 25 x 23 = 16358208350
Therefore, the lowest common multiple of 946,671,986,550,782 is 16358208350.
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.
946 x 671 x 986 x 550 x 782 = 269190676607600
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
671 : 1, 11, 61, 671
986 : 1, 2, 17, 29, 34, 58, 493, 986
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,671,986,550,782, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
671:11x 61
986:2x 17x 29
550:2x 5x 5x 11
782:2x 17x 23
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 11x 11x 17 = 16456
Therefore, the value for common factors is 16456.
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 = 269190676607600/(1x16456)
LCM = 269190676607600/16456
LCM = 16358208350
Thus, we can understand that the LCM of 946,671,986,550,782 is 16358208350.
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FAQs on LCM of 946, 671, 986, 550, 782
1. What is the LCM of 946, 671, 986, 550, 782?
Answer: LCM of 946, 671, 986, 550, 782 is 16358208350.
2. How to calculate the LCM of 946, 671, 986, 550, 782?
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 946, 671, 986, 550, 782.
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}.