LCM of 613, 533, 560, 528, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 533, 560, 528, 545 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 613, 533, 560, 528, 545. So, keep reading to learn more.
Given numbers are 613,533,560,528,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,533,560,528,545 is 658136759280.
Find LCM of 613,533,560,528,545 with Prime Factorization
| 2 | 613, 533, 560, 528, 545 |
| 2 | 613, 533, 280, 264, 545 |
| 2 | 613, 533, 140, 132, 545 |
| 2 | 613, 533, 70, 66, 545 |
| 5 | 613, 533, 35, 33, 545 |
| 613, 533, 7, 33, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 613 x 533 x 7 x 33 x 109 = 658136759280
Therefore, the lowest common multiple of 613,533,560,528,545 is 658136759280.
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.
613 x 533 x 560 x 528 x 545 = 52650940742400
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.
613 : 1, 613
533 : 1, 13, 41, 533
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,533,560,528,545, is 1.
Now, the common factors can be found like this.
613:613
533:13x 41
560:2x 2x 2x 2x 5x 7
528:2x 2x 2x 2x 3x 11
545:5x 109
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 52650940742400/(1x80)
LCM = 52650940742400/80
LCM = 658136759280
Thus, we can understand that the LCM of 613,533,560,528,545 is 658136759280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 613, 533, 560, 528, 545
1. What is the LCM of 613, 533, 560, 528, 545?
Answer: LCM of 613, 533, 560, 528, 545 is 658136759280.
2. How to calculate the LCM of 613, 533, 560, 528, 545?
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 613, 533, 560, 528, 545.
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}.