LCM of 494, 959, 986, 533, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 959, 986, 533, 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 494, 959, 986, 533, 548. So, keep reading to learn more.
Given numbers are 494,959,986,533,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,959,986,533,548 is 19151655796.
Find LCM of 494,959,986,533,548 with Prime Factorization
| 2 | 494, 959, 986, 533, 548 |
| 13 | 247, 959, 493, 533, 274 |
| 137 | 19, 959, 493, 41, 274 |
| 19, 7, 493, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 137 x 19 x 7 x 493 x 41 x 2 = 19151655796
Therefore, the lowest common multiple of 494,959,986,533,548 is 19151655796.
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.
494 x 959 x 986 x 533 x 548 = 136436395890704
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
959 : 1, 7, 137, 959
986 : 1, 2, 17, 29, 34, 58, 493, 986
533 : 1, 13, 41, 533
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 494,959,986,533,548, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
959:7x 137
986:2x 17x 29
533:13x 41
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 13x 137 = 7124
Therefore, the value for common factors is 7124.
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 = 136436395890704/(1x7124)
LCM = 136436395890704/7124
LCM = 19151655796
Thus, we can understand that the LCM of 494,959,986,533,548 is 19151655796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 959, 986, 533, 548
1. What is the LCM of 494, 959, 986, 533, 548?
Answer: LCM of 494, 959, 986, 533, 548 is 19151655796.
2. How to calculate the LCM of 494, 959, 986, 533, 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 494, 959, 986, 533, 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}.