LCM of 972, 297, 728, 687, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 297, 728, 687, 846 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 972, 297, 728, 687, 846. So, keep reading to learn more.
Given numbers are 972,297,728,687,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,297,728,687,846 is 20944195272.
Find LCM of 972,297,728,687,846 with Prime Factorization
| 2 | 972, 297, 728, 687, 846 |
| 2 | 486, 297, 364, 687, 423 |
| 3 | 243, 297, 182, 687, 423 |
| 3 | 81, 99, 182, 229, 141 |
| 3 | 27, 33, 182, 229, 47 |
| 9, 11, 182, 229, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 9 x 11 x 182 x 229 x 47 = 20944195272
Therefore, the lowest common multiple of 972,297,728,687,846 is 20944195272.
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.
972 x 297 x 728 x 687 x 846 = 122146546826304
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
297 : 1, 3, 9, 11, 27, 33, 99, 297
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
687 : 1, 3, 229, 687
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,297,728,687,846, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
297:3x 3x 3x 11
728:2x 2x 2x 7x 13
687:3x 229
846:2x 3x 3x 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 2x 2x 3x 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 122146546826304/(1x5832)
LCM = 122146546826304/5832
LCM = 20944195272
Thus, we can understand that the LCM of 972,297,728,687,846 is 20944195272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 972, 297, 728, 687, 846
1. What is the LCM of 972, 297, 728, 687, 846?
Answer: LCM of 972, 297, 728, 687, 846 is 20944195272.
2. How to calculate the LCM of 972, 297, 728, 687, 846?
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 972, 297, 728, 687, 846.
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}.