LCM of 904, 690, 264, 713, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 690, 264, 713, 454 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 904, 690, 264, 713, 454. So, keep reading to learn more.
Given numbers are 904,690,264,713,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,690,264,713,454 is 24141695160.
Find LCM of 904,690,264,713,454 with Prime Factorization
| 2 | 904, 690, 264, 713, 454 |
| 2 | 452, 345, 132, 713, 227 |
| 2 | 226, 345, 66, 713, 227 |
| 3 | 113, 345, 33, 713, 227 |
| 23 | 113, 115, 11, 713, 227 |
| 113, 5, 11, 31, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 113 x 5 x 11 x 31 x 227 = 24141695160
Therefore, the lowest common multiple of 904,690,264,713,454 is 24141695160.
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.
904 x 690 x 264 x 713 x 454 = 53304862913280
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
713 : 1, 23, 31, 713
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,690,264,713,454, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
690:2x 3x 5x 23
264:2x 2x 2x 3x 11
713:23x 31
454:2x 227
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 2x 3x 23 = 2208
Therefore, the value for common factors is 2208.
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 = 53304862913280/(1x2208)
LCM = 53304862913280/2208
LCM = 24141695160
Thus, we can understand that the LCM of 904,690,264,713,454 is 24141695160.
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FAQs on LCM of 904, 690, 264, 713, 454
1. What is the LCM of 904, 690, 264, 713, 454?
Answer: LCM of 904, 690, 264, 713, 454 is 24141695160.
2. How to calculate the LCM of 904, 690, 264, 713, 454?
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 904, 690, 264, 713, 454.
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}.