LCM of 267, 461, 984, 624, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 461, 984, 624, 494 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 267, 461, 984, 624, 494. So, keep reading to learn more.
Given numbers are 267,461,984,624,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,461,984,624,494 is 19944032784.
Find LCM of 267,461,984,624,494 with Prime Factorization
| 2 | 267, 461, 984, 624, 494 |
| 2 | 267, 461, 492, 312, 247 |
| 2 | 267, 461, 246, 156, 247 |
| 3 | 267, 461, 123, 78, 247 |
| 13 | 89, 461, 41, 26, 247 |
| 89, 461, 41, 2, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 89 x 461 x 41 x 2 x 19 = 19944032784
Therefore, the lowest common multiple of 267,461,984,624,494 is 19944032784.
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.
267 x 461 x 984 x 624 x 494 = 37335229371648
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.
267 : 1, 3, 89, 267
461 : 1, 461
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,461,984,624,494, is 1.
Now, the common factors can be found like this.
267:3x 89
461:461
984:2x 2x 2x 3x 41
624:2x 2x 2x 2x 3x 13
494:2x 13x 19
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 2x 2x 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 37335229371648/(1x1872)
LCM = 37335229371648/1872
LCM = 19944032784
Thus, we can understand that the LCM of 267,461,984,624,494 is 19944032784.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 267, 461, 984, 624, 494
1. What is the LCM of 267, 461, 984, 624, 494?
Answer: LCM of 267, 461, 984, 624, 494 is 19944032784.
2. How to calculate the LCM of 267, 461, 984, 624, 494?
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 267, 461, 984, 624, 494.
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}.