LCM of 987, 478, 209, 997, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 478, 209, 997, 423 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 987, 478, 209, 997, 423. So, keep reading to learn more.
Given numbers are 987,478,209,997,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,478,209,997,423 is 294922392534.
Find LCM of 987,478,209,997,423 with Prime Factorization
| 3 | 987, 478, 209, 997, 423 |
| 47 | 329, 478, 209, 997, 141 |
| 7, 478, 209, 997, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 7 x 478 x 209 x 997 x 3 = 294922392534
Therefore, the lowest common multiple of 987,478,209,997,423 is 294922392534.
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.
987 x 478 x 209 x 997 x 423 = 41584057347294
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
478 : 1, 2, 239, 478
209 : 1, 11, 19, 209
997 : 1, 997
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,478,209,997,423, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
478:2x 239
209:11x 19
997:997
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 47 = 141
Therefore, the value for common factors is 141.
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 = 41584057347294/(1x141)
LCM = 41584057347294/141
LCM = 294922392534
Thus, we can understand that the LCM of 987,478,209,997,423 is 294922392534.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 987, 478, 209, 997, 423
1. What is the LCM of 987, 478, 209, 997, 423?
Answer: LCM of 987, 478, 209, 997, 423 is 294922392534.
2. How to calculate the LCM of 987, 478, 209, 997, 423?
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 987, 478, 209, 997, 423.
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}.