LCM of 964, 979, 697, 462, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 979, 697, 462, 893 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 964, 979, 697, 462, 893. So, keep reading to learn more.
Given numbers are 964,979,697,462,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,979,697,462,893 is 12335684618796.
Find LCM of 964,979,697,462,893 with Prime Factorization
| 2 | 964, 979, 697, 462, 893 |
| 11 | 482, 979, 697, 231, 893 |
| 482, 89, 697, 21, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 482 x 89 x 697 x 21 x 893 = 12335684618796
Therefore, the lowest common multiple of 964,979,697,462,893 is 12335684618796.
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.
964 x 979 x 697 x 462 x 893 = 271385061613512
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.
964 : 1, 2, 4, 241, 482, 964
979 : 1, 11, 89, 979
697 : 1, 17, 41, 697
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,979,697,462,893, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
979:11x 89
697:17x 41
462:2x 3x 7x 11
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 271385061613512/(1x22)
LCM = 271385061613512/22
LCM = 12335684618796
Thus, we can understand that the LCM of 964,979,697,462,893 is 12335684618796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 979, 697, 462, 893
1. What is the LCM of 964, 979, 697, 462, 893?
Answer: LCM of 964, 979, 697, 462, 893 is 12335684618796.
2. How to calculate the LCM of 964, 979, 697, 462, 893?
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 964, 979, 697, 462, 893.
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}.