LCM of 354, 403, 678, 494, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 403, 678, 494, 902 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 354, 403, 678, 494, 902. So, keep reading to learn more.
Given numbers are 354,403,678,494,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,403,678,494,902 is 138139186614.
Find LCM of 354,403,678,494,902 with Prime Factorization
| 2 | 354, 403, 678, 494, 902 |
| 3 | 177, 403, 339, 247, 451 |
| 13 | 59, 403, 113, 247, 451 |
| 59, 31, 113, 19, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 59 x 31 x 113 x 19 x 451 = 138139186614
Therefore, the lowest common multiple of 354,403,678,494,902 is 138139186614.
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.
354 x 403 x 678 x 494 x 902 = 43099426223568
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
403 : 1, 13, 31, 403
678 : 1, 2, 3, 6, 113, 226, 339, 678
494 : 1, 2, 13, 19, 26, 38, 247, 494
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,403,678,494,902, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
403:13x 31
678:2x 3x 113
494:2x 13x 19
902:2x 11x 41
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 43099426223568/(1x312)
LCM = 43099426223568/312
LCM = 138139186614
Thus, we can understand that the LCM of 354,403,678,494,902 is 138139186614.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 354, 403, 678, 494, 902
1. What is the LCM of 354, 403, 678, 494, 902?
Answer: LCM of 354, 403, 678, 494, 902 is 138139186614.
2. How to calculate the LCM of 354, 403, 678, 494, 902?
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 354, 403, 678, 494, 902.
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}.