LCM of 701, 120, 569, 966, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 120, 569, 966, 965 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, 120, 569, 966, 965. So, keep reading to learn more.
Given numbers are 701,120,569,966,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,120,569,966,965 is 1487286772440.
Find LCM of 701,120,569,966,965 with Prime Factorization
| 2 | 701, 120, 569, 966, 965 |
| 3 | 701, 60, 569, 483, 965 |
| 5 | 701, 20, 569, 161, 965 |
| 701, 4, 569, 161, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 701 x 4 x 569 x 161 x 193 = 1487286772440
Therefore, the lowest common multiple of 701,120,569,966,965 is 1487286772440.
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 120 x 569 x 966 x 965 = 44618603173200
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
569 : 1, 569
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,120,569,966,965, is 1.
Now, the common factors can be found like this.
701:701
120:2x 2x 2x 3x 5
569:569
966:2x 3x 7x 23
965:5x 193
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 5 = 30
Therefore, the value for common factors is 30.
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 = 44618603173200/(1x30)
LCM = 44618603173200/30
LCM = 1487286772440
Thus, we can understand that the LCM of 701,120,569,966,965 is 1487286772440.
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FAQs on LCM of 701, 120, 569, 966, 965
1. What is the LCM of 701, 120, 569, 966, 965?
Answer: LCM of 701, 120, 569, 966, 965 is 1487286772440.
2. How to calculate the LCM of 701, 120, 569, 966, 965?
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, 120, 569, 966, 965.
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}.