LCM of 697, 114, 988, 255, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 114, 988, 255, 766 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 697, 114, 988, 255, 766. So, keep reading to learn more.
Given numbers are 697,114,988,255,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,114,988,255,766 is 3956213820.
Find LCM of 697,114,988,255,766 with Prime Factorization
| 2 | 697, 114, 988, 255, 766 |
| 3 | 697, 57, 494, 255, 383 |
| 17 | 697, 19, 494, 85, 383 |
| 19 | 41, 19, 494, 5, 383 |
| 41, 1, 26, 5, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 41 x 1 x 26 x 5 x 383 = 3956213820
Therefore, the lowest common multiple of 697,114,988,255,766 is 3956213820.
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.
697 x 114 x 988 x 255 x 766 = 15334284766320
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.
697 : 1, 17, 41, 697
114 : 1, 2, 3, 6, 19, 38, 57, 114
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
255 : 1, 3, 5, 15, 17, 51, 85, 255
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,114,988,255,766, is 1.
Now, the common factors can be found like this.
697:17x 41
114:2x 3x 19
988:2x 2x 13x 19
255:3x 5x 17
766:2x 383
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 3x 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 15334284766320/(1x3876)
LCM = 15334284766320/3876
LCM = 3956213820
Thus, we can understand that the LCM of 697,114,988,255,766 is 3956213820.
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FAQs on LCM of 697, 114, 988, 255, 766
1. What is the LCM of 697, 114, 988, 255, 766?
Answer: LCM of 697, 114, 988, 255, 766 is 3956213820.
2. How to calculate the LCM of 697, 114, 988, 255, 766?
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 697, 114, 988, 255, 766.
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}.