LCM of 963, 150, 162, 612, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 150, 162, 612, 642 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 963, 150, 162, 612, 642. So, keep reading to learn more.
Given numbers are 963,150,162,612,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,150,162,612,642 is 14733900.
Find LCM of 963,150,162,612,642 with Prime Factorization
| 2 | 963, 150, 162, 612, 642 |
| 3 | 963, 75, 81, 306, 321 |
| 3 | 107, 25, 27, 102, 321 |
| 107 | 107, 25, 9, 34, 107 |
| 1, 25, 9, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 1 x 25 x 9 x 34 x 1 = 14733900
Therefore, the lowest common multiple of 963,150,162,612,642 is 14733900.
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.
963 x 150 x 162 x 612 x 642 = 9194307213600
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.
963 : 1, 3, 9, 107, 321, 963
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
642 : 1, 2, 3, 6, 107, 214, 321, 642
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,150,162,612,642, is 3.
Now, the common factors can be found like this.
963:3x 3x 107
150:2x 3x 5x 5
162:2x 3x 3x 3x 3
612:2x 2x 3x 3x 17
642:2x 3x 107
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 107 = 208008
Therefore, the value for common factors is 208008.
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 = 9194307213600/(3x208008)
LCM = 9194307213600/624024
LCM = 14733900
Thus, we can understand that the LCM of 963,150,162,612,642 is 14733900.
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FAQs on LCM of 963, 150, 162, 612, 642
1. What is the LCM of 963, 150, 162, 612, 642?
Answer: LCM of 963, 150, 162, 612, 642 is 14733900.
2. How to calculate the LCM of 963, 150, 162, 612, 642?
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 963, 150, 162, 612, 642.
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}.