Find the LCM of 708, 583, 795, 247, 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 708, 583, 795, 247, 966. So, keep reading to learn more.
Given numbers are 708,583,795,247,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,583,795,247,966 is 82071929940.
Find LCM of 708,583,795,247,966 with Prime Factorization
2 | 708, 583, 795, 247, 966 |
3 | 354, 583, 795, 247, 483 |
53 | 118, 583, 265, 247, 161 |
118, 11, 5, 247, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 118 x 11 x 5 x 247 x 161 = 82071929940
Therefore, the lowest common multiple of 708,583,795,247,966 is 82071929940.
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.
708 x 583 x 795 x 247 x 966 = 78296621162760
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
583 : 1, 11, 53, 583
795 : 1, 3, 5, 15, 53, 159, 265, 795
247 : 1, 13, 19, 247
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 708,583,795,247,966, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
583:11x 53
795:3x 5x 53
247:13x 19
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 53 = 954
Therefore, the value for common factors is 954.
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 = 78296621162760/(1x954)
LCM = 78296621162760/954
LCM = 82071929940
Thus, we can understand that the LCM of 708,583,795,247,966 is 82071929940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 583, 795, 247, 966?
Answer: LCM of 708, 583, 795, 247, 966 is 82071929940.
2. How to calculate the LCM of 708, 583, 795, 247, 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 708, 583, 795, 247, 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}.