LCM of 304, 959, 493, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 959, 493, 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 304, 959, 493, 548. So, keep reading to learn more.
Given numbers are 304,959,493,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,959,493,548 is 143727248.
Find LCM of 304,959,493,548 with Prime Factorization
| 2 | 304, 959, 493, 548 |
| 2 | 152, 959, 493, 274 |
| 137 | 76, 959, 493, 137 |
| 76, 7, 493, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 76 x 7 x 493 x 1 = 143727248
Therefore, the lowest common multiple of 304,959,493,548 is 143727248.
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.
304 x 959 x 493 x 548 = 78762531904
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
959 : 1, 7, 137, 959
493 : 1, 17, 29, 493
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,959,493,548, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
959:7x 137
493:17x 29
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 2x 137 = 548
Therefore, the value for common factors is 548.
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 = 78762531904/(1x548)
LCM = 78762531904/548
LCM = 143727248
Thus, we can understand that the LCM of 304,959,493,548 is 143727248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 304, 959, 493, 548
1. What is the LCM of 304, 959, 493, 548?
Answer: LCM of 304, 959, 493, 548 is 143727248.
2. How to calculate the LCM of 304, 959, 493, 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 304, 959, 493, 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}.