LCM of 747, 687, 862, 994, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 687, 862, 994, 923 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 747, 687, 862, 994, 923. So, keep reading to learn more.
Given numbers are 747,687,862,994,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,687,862,994,923 is 952715193066.
Find LCM of 747,687,862,994,923 with Prime Factorization
| 2 | 747, 687, 862, 994, 923 |
| 3 | 747, 687, 431, 497, 923 |
| 71 | 249, 229, 431, 497, 923 |
| 249, 229, 431, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 249 x 229 x 431 x 7 x 13 = 952715193066
Therefore, the lowest common multiple of 747,687,862,994,923 is 952715193066.
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.
747 x 687 x 862 x 994 x 923 = 405856672246116
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.
747 : 1, 3, 9, 83, 249, 747
687 : 1, 3, 229, 687
862 : 1, 2, 431, 862
994 : 1, 2, 7, 14, 71, 142, 497, 994
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,687,862,994,923, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
687:3x 229
862:2x 431
994:2x 7x 71
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 405856672246116/(1x426)
LCM = 405856672246116/426
LCM = 952715193066
Thus, we can understand that the LCM of 747,687,862,994,923 is 952715193066.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 747, 687, 862, 994, 923
1. What is the LCM of 747, 687, 862, 994, 923?
Answer: LCM of 747, 687, 862, 994, 923 is 952715193066.
2. How to calculate the LCM of 747, 687, 862, 994, 923?
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 747, 687, 862, 994, 923.
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}.