LCM of 792, 247, 807, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 247, 807, 228 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 792, 247, 807, 228. So, keep reading to learn more.
Given numbers are 792,247,807,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,247,807,228 is 52622856.
Find LCM of 792,247,807,228 with Prime Factorization
| 2 | 792, 247, 807, 228 |
| 2 | 396, 247, 807, 114 |
| 3 | 198, 247, 807, 57 |
| 19 | 66, 247, 269, 19 |
| 66, 13, 269, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 66 x 13 x 269 x 1 = 52622856
Therefore, the lowest common multiple of 792,247,807,228 is 52622856.
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.
792 x 247 x 807 x 228 = 35994033504
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
247 : 1, 13, 19, 247
807 : 1, 3, 269, 807
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,247,807,228, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
247:13x 19
807:3x 269
228:2x 2x 3x 19
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 35994033504/(1x684)
LCM = 35994033504/684
LCM = 52622856
Thus, we can understand that the LCM of 792,247,807,228 is 52622856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 792, 247, 807, 228
1. What is the LCM of 792, 247, 807, 228?
Answer: LCM of 792, 247, 807, 228 is 52622856.
2. How to calculate the LCM of 792, 247, 807, 228?
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 792, 247, 807, 228.
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}.