LCM of 654, 460, 900, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 460, 900, 102 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 654, 460, 900, 102. So, keep reading to learn more.
Given numbers are 654,460,900,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,460,900,102 is 38357100.
Find LCM of 654,460,900,102 with Prime Factorization
| 2 | 654, 460, 900, 102 |
| 2 | 327, 230, 450, 51 |
| 3 | 327, 115, 225, 51 |
| 5 | 109, 115, 75, 17 |
| 109, 23, 15, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 109 x 23 x 15 x 17 = 38357100
Therefore, the lowest common multiple of 654,460,900,102 is 38357100.
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.
654 x 460 x 900 x 102 = 27617112000
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
102 : 1, 2, 3, 6, 17, 34, 51, 102
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,460,900,102, is 2.
Now, the common factors can be found like this.
654:2x 3x 109
460:2x 2x 5x 23
900:2x 2x 3x 3x 5x 5
102:2x 3x 17
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 5 = 360
Therefore, the value for common factors is 360.
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 = 27617112000/(2x360)
LCM = 27617112000/720
LCM = 38357100
Thus, we can understand that the LCM of 654,460,900,102 is 38357100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 460, 900, 102
1. What is the LCM of 654, 460, 900, 102?
Answer: LCM of 654, 460, 900, 102 is 38357100.
2. How to calculate the LCM of 654, 460, 900, 102?
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 654, 460, 900, 102.
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}.