LCM of 701, 909, 974, 747, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 909, 974, 747, 974 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 701, 909, 974, 747, 974. So, keep reading to learn more.
Given numbers are 701,909,974,747,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,909,974,747,974 is 51513249978.
Find LCM of 701,909,974,747,974 with Prime Factorization
| 2 | 701, 909, 974, 747, 974 |
| 3 | 701, 909, 487, 747, 487 |
| 3 | 701, 303, 487, 249, 487 |
| 487 | 701, 101, 487, 83, 487 |
| 701, 101, 1, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 487 x 701 x 101 x 1 x 83 x 1 = 51513249978
Therefore, the lowest common multiple of 701,909,974,747,974 is 51513249978.
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.
701 x 909 x 974 x 747 x 974 = 451565149307148
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.
701 : 1, 701
909 : 1, 3, 9, 101, 303, 909
974 : 1, 2, 487, 974
747 : 1, 3, 9, 83, 249, 747
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,909,974,747,974, is 1.
Now, the common factors can be found like this.
701:701
909:3x 3x 101
974:2x 487
747:3x 3x 83
974:2x 487
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 3x 487 = 8766
Therefore, the value for common factors is 8766.
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 = 451565149307148/(1x8766)
LCM = 451565149307148/8766
LCM = 51513249978
Thus, we can understand that the LCM of 701,909,974,747,974 is 51513249978.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 909, 974, 747, 974
1. What is the LCM of 701, 909, 974, 747, 974?
Answer: LCM of 701, 909, 974, 747, 974 is 51513249978.
2. How to calculate the LCM of 701, 909, 974, 747, 974?
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 701, 909, 974, 747, 974.
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}.