LCM of 266, 494, 772, 177, 398
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 494, 772, 177, 398 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 266, 494, 772, 177, 398. So, keep reading to learn more.
Given numbers are 266,494,772,177,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,494,772,177,398 is 47015237724.
Find LCM of 266,494,772,177,398 with Prime Factorization
| 2 | 266, 494, 772, 177, 398 |
| 19 | 133, 247, 386, 177, 199 |
| 7, 13, 386, 177, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 7 x 13 x 386 x 177 x 199 = 47015237724
Therefore, the lowest common multiple of 266,494,772,177,398 is 47015237724.
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.
266 x 494 x 772 x 177 x 398 = 7146316134048
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
494 : 1, 2, 13, 19, 26, 38, 247, 494
772 : 1, 2, 4, 193, 386, 772
177 : 1, 3, 59, 177
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,494,772,177,398, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
494:2x 13x 19
772:2x 2x 193
177:3x 59
398:2x 199
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 19 = 152
Therefore, the value for common factors is 152.
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 = 7146316134048/(1x152)
LCM = 7146316134048/152
LCM = 47015237724
Thus, we can understand that the LCM of 266,494,772,177,398 is 47015237724.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 266, 494, 772, 177, 398
1. What is the LCM of 266, 494, 772, 177, 398?
Answer: LCM of 266, 494, 772, 177, 398 is 47015237724.
2. How to calculate the LCM of 266, 494, 772, 177, 398?
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 266, 494, 772, 177, 398.
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}.