LCM of 764, 345, 120, 223, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 345, 120, 223, 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 764, 345, 120, 223, 321. So, keep reading to learn more.
Given numbers are 764,345,120,223,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,345,120,223,321 is 12578564760.
Find LCM of 764,345,120,223,321 with Prime Factorization
| 2 | 764, 345, 120, 223, 321 |
| 2 | 382, 345, 60, 223, 321 |
| 3 | 191, 345, 30, 223, 321 |
| 5 | 191, 115, 10, 223, 107 |
| 191, 23, 2, 223, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 191 x 23 x 2 x 223 x 107 = 12578564760
Therefore, the lowest common multiple of 764,345,120,223,321 is 12578564760.
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.
764 x 345 x 120 x 223 x 321 = 2264141656800
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.
764 : 1, 2, 4, 191, 382, 764
345 : 1, 3, 5, 15, 23, 69, 115, 345
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
223 : 1, 223
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,345,120,223,321, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
345:3x 5x 23
120:2x 2x 2x 3x 5
223:223
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 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 2264141656800/(1x180)
LCM = 2264141656800/180
LCM = 12578564760
Thus, we can understand that the LCM of 764,345,120,223,321 is 12578564760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 345, 120, 223, 321
1. What is the LCM of 764, 345, 120, 223, 321?
Answer: LCM of 764, 345, 120, 223, 321 is 12578564760.
2. How to calculate the LCM of 764, 345, 120, 223, 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 764, 345, 120, 223, 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}.