LCM of 763, 794, 475, 988, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 794, 475, 988, 306 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 763, 794, 475, 988, 306. So, keep reading to learn more.
Given numbers are 763,794,475,988,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,794,475,988,306 is 1144730960100.
Find LCM of 763,794,475,988,306 with Prime Factorization
| 2 | 763, 794, 475, 988, 306 |
| 19 | 763, 397, 475, 494, 153 |
| 763, 397, 25, 26, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 763 x 397 x 25 x 26 x 153 = 1144730960100
Therefore, the lowest common multiple of 763,794,475,988,306 is 1144730960100.
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.
763 x 794 x 475 x 988 x 306 = 86999552967600
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.
763 : 1, 7, 109, 763
794 : 1, 2, 397, 794
475 : 1, 5, 19, 25, 95, 475
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,794,475,988,306, is 1.
Now, the common factors can be found like this.
763:7x 109
794:2x 397
475:5x 5x 19
988:2x 2x 13x 19
306:2x 3x 3x 17
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 19 = 76
Therefore, the value for common factors is 76.
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 = 86999552967600/(1x76)
LCM = 86999552967600/76
LCM = 1144730960100
Thus, we can understand that the LCM of 763,794,475,988,306 is 1144730960100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 763, 794, 475, 988, 306
1. What is the LCM of 763, 794, 475, 988, 306?
Answer: LCM of 763, 794, 475, 988, 306 is 1144730960100.
2. How to calculate the LCM of 763, 794, 475, 988, 306?
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 763, 794, 475, 988, 306.
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}.