LCM of 654, 945, 120, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 945, 120, 321 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, 945, 120, 321. So, keep reading to learn more.
Given numbers are 654,945,120,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,945,120,321 is 88172280.
Find LCM of 654,945,120,321 with Prime Factorization
| 2 | 654, 945, 120, 321 |
| 3 | 327, 945, 60, 321 |
| 5 | 109, 315, 20, 107 |
| 109, 63, 4, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 63 x 4 x 107 = 88172280
Therefore, the lowest common multiple of 654,945,120,321 is 88172280.
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 945 x 120 x 321 = 23806515600
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
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
321 : 1, 3, 107, 321
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,945,120,321, is 3.
Now, the common factors can be found like this.
654:2x 3x 109
945:3x 3x 3x 5x 7
120:2x 2x 2x 3x 5
321:3x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 23806515600/(3x90)
LCM = 23806515600/270
LCM = 88172280
Thus, we can understand that the LCM of 654,945,120,321 is 88172280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 945, 120, 321
1. What is the LCM of 654, 945, 120, 321?
Answer: LCM of 654, 945, 120, 321 is 88172280.
2. How to calculate the LCM of 654, 945, 120, 321?
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, 945, 120, 321.
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}.