LCM of 653, 920, 340, 630, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 920, 340, 630, 105 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 653, 920, 340, 630, 105. So, keep reading to learn more.
Given numbers are 653,920,340,630,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,920,340,630,105 is 643413960.
Find LCM of 653,920,340,630,105 with Prime Factorization
| 2 | 653, 920, 340, 630, 105 |
| 2 | 653, 460, 170, 315, 105 |
| 3 | 653, 230, 85, 315, 105 |
| 5 | 653, 230, 85, 35, 105 |
| 7 | 653, 46, 17, 7, 21 |
| 653, 46, 17, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 653 x 46 x 17 x 1 x 3 = 643413960
Therefore, the lowest common multiple of 653,920,340,630,105 is 643413960.
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.
653 x 920 x 340 x 630 x 105 = 13511693160000
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.
653 : 1, 653
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,920,340,630,105, is 1.
Now, the common factors can be found like this.
653:653
920:2x 2x 2x 5x 23
340:2x 2x 5x 17
630:2x 3x 3x 5x 7
105:3x 5x 7
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 5x 5x 5x 7 = 21000
Therefore, the value for common factors is 21000.
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 = 13511693160000/(1x21000)
LCM = 13511693160000/21000
LCM = 643413960
Thus, we can understand that the LCM of 653,920,340,630,105 is 643413960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 653, 920, 340, 630, 105
1. What is the LCM of 653, 920, 340, 630, 105?
Answer: LCM of 653, 920, 340, 630, 105 is 643413960.
2. How to calculate the LCM of 653, 920, 340, 630, 105?
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 653, 920, 340, 630, 105.
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}.