LCM of 606, 528, 849, 895, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 528, 849, 895, 724 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 606, 528, 849, 895, 724. So, keep reading to learn more.
Given numbers are 606,528,849,895,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,528,849,895,724 is 2444800028880.
Find LCM of 606,528,849,895,724 with Prime Factorization
| 2 | 606, 528, 849, 895, 724 |
| 2 | 303, 264, 849, 895, 362 |
| 3 | 303, 132, 849, 895, 181 |
| 101, 44, 283, 895, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 44 x 283 x 895 x 181 = 2444800028880
Therefore, the lowest common multiple of 606,528,849,895,724 is 2444800028880.
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.
606 x 528 x 849 x 895 x 724 = 176025602079360
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
849 : 1, 3, 283, 849
895 : 1, 5, 179, 895
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,528,849,895,724, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
528:2x 2x 2x 2x 3x 11
849:3x 283
895:5x 179
724:2x 2x 181
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 3 = 72
Therefore, the value for common factors is 72.
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 = 176025602079360/(1x72)
LCM = 176025602079360/72
LCM = 2444800028880
Thus, we can understand that the LCM of 606,528,849,895,724 is 2444800028880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 606, 528, 849, 895, 724
1. What is the LCM of 606, 528, 849, 895, 724?
Answer: LCM of 606, 528, 849, 895, 724 is 2444800028880.
2. How to calculate the LCM of 606, 528, 849, 895, 724?
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 606, 528, 849, 895, 724.
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}.