LCM of 730, 390, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 390, 548 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 730, 390, 548. So, keep reading to learn more.
Given numbers are 730,390,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,390,548 is 7800780.
Find LCM of 730,390,548 with Prime Factorization
| 2 | 730, 390, 548 |
| 5 | 365, 195, 274 |
| 73, 39, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 39 x 274 = 7800780
Therefore, the lowest common multiple of 730,390,548 is 7800780.
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.
730 x 390 x 548 = 156015600
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
548 : 1, 2, 4, 137, 274, 548
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,390,548, is 2.
Now, the common factors can be found like this.
730:2x 5x 73
390:2x 3x 5x 13
548:2x 2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 156015600/(2x10)
LCM = 156015600/20
LCM = 7800780
Thus, we can understand that the LCM of 730,390,548 is 7800780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 730, 390, 548
1. What is the LCM of 730, 390, 548?
Answer: LCM of 730, 390, 548 is 7800780.
2. How to calculate the LCM of 730, 390, 548?
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 730, 390, 548.
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}.