LCM of 270, 423, 671, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 423, 671, 940 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 270, 423, 671, 940. So, keep reading to learn more.
Given numbers are 270,423,671,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,423,671,940 is 17029980.
Find LCM of 270,423,671,940 with Prime Factorization
| 2 | 270, 423, 671, 940 |
| 3 | 135, 423, 671, 470 |
| 3 | 45, 141, 671, 470 |
| 5 | 15, 47, 671, 470 |
| 47 | 3, 47, 671, 94 |
| 3, 1, 671, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 47 x 3 x 1 x 671 x 2 = 17029980
Therefore, the lowest common multiple of 270,423,671,940 is 17029980.
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.
270 x 423 x 671 x 940 = 72036815400
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
423 : 1, 3, 9, 47, 141, 423
671 : 1, 11, 61, 671
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,423,671,940, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
423:3x 3x 47
671:11x 61
940:2x 2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 47 = 4230
Therefore, the value for common factors is 4230.
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 = 72036815400/(1x4230)
LCM = 72036815400/4230
LCM = 17029980
Thus, we can understand that the LCM of 270,423,671,940 is 17029980.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 270, 423, 671, 940
1. What is the LCM of 270, 423, 671, 940?
Answer: LCM of 270, 423, 671, 940 is 17029980.
2. How to calculate the LCM of 270, 423, 671, 940?
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 270, 423, 671, 940.
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}.