LCM of 140, 583, 498, 264, 587
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 583, 498, 264, 587 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 140, 583, 498, 264, 587. So, keep reading to learn more.
Given numbers are 140,583,498,264,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,583,498,264,587 is 23859648120.
Find LCM of 140,583,498,264,587 with Prime Factorization
| 2 | 140, 583, 498, 264, 587 |
| 2 | 70, 583, 249, 132, 587 |
| 3 | 35, 583, 249, 66, 587 |
| 11 | 35, 583, 83, 22, 587 |
| 35, 53, 83, 2, 587 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 35 x 53 x 83 x 2 x 587 = 23859648120
Therefore, the lowest common multiple of 140,583,498,264,587 is 23859648120.
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.
140 x 583 x 498 x 264 x 587 = 6298947103680
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
583 : 1, 11, 53, 583
498 : 1, 2, 3, 6, 83, 166, 249, 498
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,583,498,264,587, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
583:11x 53
498:2x 3x 83
264:2x 2x 2x 3x 11
587:587
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 11 = 264
Therefore, the value for common factors is 264.
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 = 6298947103680/(1x264)
LCM = 6298947103680/264
LCM = 23859648120
Thus, we can understand that the LCM of 140,583,498,264,587 is 23859648120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 140, 583, 498, 264, 587
1. What is the LCM of 140, 583, 498, 264, 587?
Answer: LCM of 140, 583, 498, 264, 587 is 23859648120.
2. How to calculate the LCM of 140, 583, 498, 264, 587?
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 140, 583, 498, 264, 587.
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}.