LCM of 705, 274, 705, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 274, 705, 966 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 705, 274, 705, 966. So, keep reading to learn more.
Given numbers are 705,274,705,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,274,705,966 is 31100370.
Find LCM of 705,274,705,966 with Prime Factorization
| 2 | 705, 274, 705, 966 |
| 3 | 705, 137, 705, 483 |
| 5 | 235, 137, 235, 161 |
| 47 | 47, 137, 47, 161 |
| 1, 137, 1, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 1 x 137 x 1 x 161 = 31100370
Therefore, the lowest common multiple of 705,274,705,966 is 31100370.
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.
705 x 274 x 705 x 966 = 131554565100
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
274 : 1, 2, 137, 274
705 : 1, 3, 5, 15, 47, 141, 235, 705
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,274,705,966, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
274:2x 137
705:3x 5x 47
966:2x 3x 7x 23
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 5x 47 = 4230
Therefore, the value for common factors is 4230.
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 = 131554565100/(1x4230)
LCM = 131554565100/4230
LCM = 31100370
Thus, we can understand that the LCM of 705,274,705,966 is 31100370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 274, 705, 966
1. What is the LCM of 705, 274, 705, 966?
Answer: LCM of 705, 274, 705, 966 is 31100370.
2. How to calculate the LCM of 705, 274, 705, 966?
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 705, 274, 705, 966.
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}.