Find the LCM of 702, 462, 982, 195, 264 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 702, 462, 982, 195, 264. So, keep reading to learn more.
Given numbers are 702,462,982,195,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,462,982,195,264 is 530810280.
Find LCM of 702,462,982,195,264 with Prime Factorization
2 | 702, 462, 982, 195, 264 |
3 | 351, 231, 491, 195, 132 |
11 | 117, 77, 491, 65, 44 |
13 | 117, 7, 491, 65, 4 |
9, 7, 491, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 9 x 7 x 491 x 5 x 4 = 530810280
Therefore, the lowest common multiple of 702,462,982,195,264 is 530810280.
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.
702 x 462 x 982 x 195 x 264 = 16395667928640
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
982 : 1, 2, 491, 982
195 : 1, 3, 5, 13, 15, 39, 65, 195
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,462,982,195,264, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
462:2x 3x 7x 11
982:2x 491
195:3x 5x 13
264:2x 2x 2x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 11x 13 = 30888
Therefore, the value for common factors is 30888.
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 = 16395667928640/(1x30888)
LCM = 16395667928640/30888
LCM = 530810280
Thus, we can understand that the LCM of 702,462,982,195,264 is 530810280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 462, 982, 195, 264?
Answer: LCM of 702, 462, 982, 195, 264 is 530810280.
2. How to calculate the LCM of 702, 462, 982, 195, 264?
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 702, 462, 982, 195, 264.
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}.