Find the LCM of 493, 382, 190, 334, 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 493, 382, 190, 334, 548. So, keep reading to learn more.
Given numbers are 493,382,190,334,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,382,190,334,548 is 818655005260.
Find LCM of 493,382,190,334,548 with Prime Factorization
2 | 493, 382, 190, 334, 548 |
493, 191, 95, 167, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 191 x 95 x 167 x 274 = 818655005260
Therefore, the lowest common multiple of 493,382,190,334,548 is 818655005260.
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.
493 x 382 x 190 x 334 x 548 = 6549240042080
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.
493 : 1, 17, 29, 493
382 : 1, 2, 191, 382
190 : 1, 2, 5, 10, 19, 38, 95, 190
334 : 1, 2, 167, 334
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 493,382,190,334,548, is 1.
Now, the common factors can be found like this.
493:17x 29
382:2x 191
190:2x 5x 19
334:2x 167
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 2 = 8
Therefore, the value for common factors is 8.
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 = 6549240042080/(1x8)
LCM = 6549240042080/8
LCM = 818655005260
Thus, we can understand that the LCM of 493,382,190,334,548 is 818655005260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 382, 190, 334, 548?
Answer: LCM of 493, 382, 190, 334, 548 is 818655005260.
2. How to calculate the LCM of 493, 382, 190, 334, 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 493, 382, 190, 334, 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}.