LCM of 979, 988, 728, 735, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 988, 728, 735, 462 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 979, 988, 728, 735, 462. So, keep reading to learn more.
Given numbers are 979,988,728,735,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,988,728,735,462 is 1421860440.
Find LCM of 979,988,728,735,462 with Prime Factorization
| 2 | 979, 988, 728, 735, 462 |
| 2 | 979, 494, 364, 735, 231 |
| 3 | 979, 247, 182, 735, 231 |
| 7 | 979, 247, 182, 245, 77 |
| 11 | 979, 247, 26, 35, 11 |
| 13 | 89, 247, 26, 35, 1 |
| 89, 19, 2, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 13 x 89 x 19 x 2 x 35 x 1 = 1421860440
Therefore, the lowest common multiple of 979,988,728,735,462 is 1421860440.
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.
979 x 988 x 728 x 735 x 462 = 239111426473920
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.
979 : 1, 11, 89, 979
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,988,728,735,462, is 1.
Now, the common factors can be found like this.
979:11x 89
988:2x 2x 13x 19
728:2x 2x 2x 7x 13
735:3x 5x 7x 7
462:2x 3x 7x 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 7x 7x 11x 13 = 168168
Therefore, the value for common factors is 168168.
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 = 239111426473920/(1x168168)
LCM = 239111426473920/168168
LCM = 1421860440
Thus, we can understand that the LCM of 979,988,728,735,462 is 1421860440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 988, 728, 735, 462
1. What is the LCM of 979, 988, 728, 735, 462?
Answer: LCM of 979, 988, 728, 735, 462 is 1421860440.
2. How to calculate the LCM of 979, 988, 728, 735, 462?
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 979, 988, 728, 735, 462.
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}.