LCM of 684, 812, 961, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 812, 961, 972 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 684, 812, 961, 972. So, keep reading to learn more.
Given numbers are 684,812,961,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,812,961,972 is 3602792844.
Find LCM of 684,812,961,972 with Prime Factorization
| 2 | 684, 812, 961, 972 |
| 2 | 342, 406, 961, 486 |
| 3 | 171, 203, 961, 243 |
| 3 | 57, 203, 961, 81 |
| 19, 203, 961, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 203 x 961 x 27 = 3602792844
Therefore, the lowest common multiple of 684,812,961,972 is 3602792844.
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.
684 x 812 x 961 x 972 = 518802169536
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
961 : 1, 31, 961
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,812,961,972, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
812:2x 2x 7x 29
961:31x 31
972:2x 2x 3x 3x 3x 3x 3
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 518802169536/(1x144)
LCM = 518802169536/144
LCM = 3602792844
Thus, we can understand that the LCM of 684,812,961,972 is 3602792844.
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FAQs on LCM of 684, 812, 961, 972
1. What is the LCM of 684, 812, 961, 972?
Answer: LCM of 684, 812, 961, 972 is 3602792844.
2. How to calculate the LCM of 684, 812, 961, 972?
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 684, 812, 961, 972.
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}.