LCM of 972, 867, 562, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 867, 562, 788 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, 867, 562, 788. So, keep reading to learn more.
Given numbers are 972,867,562,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,867,562,788 is 15550224156.
Find LCM of 972,867,562,788 with Prime Factorization
| 2 | 972, 867, 562, 788 |
| 2 | 486, 867, 281, 394 |
| 3 | 243, 867, 281, 197 |
| 81, 289, 281, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 81 x 289 x 281 x 197 = 15550224156
Therefore, the lowest common multiple of 972,867,562,788 is 15550224156.
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 867 x 562 x 788 = 373205379744
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
867 : 1, 3, 17, 51, 289, 867
562 : 1, 2, 281, 562
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,867,562,788, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
867:3x 17x 17
562:2x 281
788:2x 2x 197
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 3 = 24
Therefore, the value for common factors is 24.
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 = 373205379744/(1x24)
LCM = 373205379744/24
LCM = 15550224156
Thus, we can understand that the LCM of 972,867,562,788 is 15550224156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 867, 562, 788
1. What is the LCM of 972, 867, 562, 788?
Answer: LCM of 972, 867, 562, 788 is 15550224156.
2. How to calculate the LCM of 972, 867, 562, 788?
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, 867, 562, 788.
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}.