LCM of 787, 319, 288, 807, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 319, 288, 807, 189 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 787, 319, 288, 807, 189. So, keep reading to learn more.
Given numbers are 787,319,288,807,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,319,288,807,189 is 408441138336.
Find LCM of 787,319,288,807,189 with Prime Factorization
| 3 | 787, 319, 288, 807, 189 |
| 3 | 787, 319, 96, 269, 63 |
| 787, 319, 32, 269, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 787 x 319 x 32 x 269 x 21 = 408441138336
Therefore, the lowest common multiple of 787,319,288,807,189 is 408441138336.
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.
787 x 319 x 288 x 807 x 189 = 11027910735072
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.
787 : 1, 787
319 : 1, 11, 29, 319
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
807 : 1, 3, 269, 807
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,319,288,807,189, is 1.
Now, the common factors can be found like this.
787:787
319:11x 29
288:2x 2x 2x 2x 2x 3x 3
807:3x 269
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 11027910735072/(1x27)
LCM = 11027910735072/27
LCM = 408441138336
Thus, we can understand that the LCM of 787,319,288,807,189 is 408441138336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 319, 288, 807, 189
1. What is the LCM of 787, 319, 288, 807, 189?
Answer: LCM of 787, 319, 288, 807, 189 is 408441138336.
2. How to calculate the LCM of 787, 319, 288, 807, 189?
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 787, 319, 288, 807, 189.
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}.