LCM of 746, 460, 286, 767, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 460, 286, 767, 989 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 746, 460, 286, 767, 989. So, keep reading to learn more.
Given numbers are 746,460,286,767,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,460,286,767,989 is 62247679780.
Find LCM of 746,460,286,767,989 with Prime Factorization
| 2 | 746, 460, 286, 767, 989 |
| 13 | 373, 230, 143, 767, 989 |
| 23 | 373, 230, 11, 59, 989 |
| 373, 10, 11, 59, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 373 x 10 x 11 x 59 x 43 = 62247679780
Therefore, the lowest common multiple of 746,460,286,767,989 is 62247679780.
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.
746 x 460 x 286 x 767 x 989 = 74448225016880
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.
746 : 1, 2, 373, 746
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
286 : 1, 2, 11, 13, 22, 26, 143, 286
767 : 1, 13, 59, 767
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,460,286,767,989, is 1.
Now, the common factors can be found like this.
746:2x 373
460:2x 2x 5x 23
286:2x 11x 13
767:13x 59
989:23x 43
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 74448225016880/(1x1196)
LCM = 74448225016880/1196
LCM = 62247679780
Thus, we can understand that the LCM of 746,460,286,767,989 is 62247679780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 460, 286, 767, 989
1. What is the LCM of 746, 460, 286, 767, 989?
Answer: LCM of 746, 460, 286, 767, 989 is 62247679780.
2. How to calculate the LCM of 746, 460, 286, 767, 989?
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 746, 460, 286, 767, 989.
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}.