LCM of 268, 989, 289, 716, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 989, 289, 716, 946 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 268, 989, 289, 716, 946. So, keep reading to learn more.
Given numbers are 268,989,289,716,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,989,289,716,946 is 150825455132.
Find LCM of 268,989,289,716,946 with Prime Factorization
| 2 | 268, 989, 289, 716, 946 |
| 2 | 134, 989, 289, 358, 473 |
| 43 | 67, 989, 289, 179, 473 |
| 67, 23, 289, 179, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 67 x 23 x 289 x 179 x 11 = 150825455132
Therefore, the lowest common multiple of 268,989,289,716,946 is 150825455132.
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.
268 x 989 x 289 x 716 x 946 = 51883956565408
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.
268 : 1, 2, 4, 67, 134, 268
989 : 1, 23, 43, 989
289 : 1, 17, 289
716 : 1, 2, 4, 179, 358, 716
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,989,289,716,946, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
989:23x 43
289:17x 17
716:2x 2x 179
946:2x 11x 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 2x 43 = 344
Therefore, the value for common factors is 344.
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 = 51883956565408/(1x344)
LCM = 51883956565408/344
LCM = 150825455132
Thus, we can understand that the LCM of 268,989,289,716,946 is 150825455132.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 268, 989, 289, 716, 946
1. What is the LCM of 268, 989, 289, 716, 946?
Answer: LCM of 268, 989, 289, 716, 946 is 150825455132.
2. How to calculate the LCM of 268, 989, 289, 716, 946?
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 268, 989, 289, 716, 946.
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}.