LCM of 565, 970, 212, 805, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 970, 212, 805, 602 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 565, 970, 212, 805, 602. So, keep reading to learn more.
Given numbers are 565,970,212,805,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,970,212,805,602 is 80435983180.
Find LCM of 565,970,212,805,602 with Prime Factorization
| 2 | 565, 970, 212, 805, 602 |
| 5 | 565, 485, 106, 805, 301 |
| 7 | 113, 97, 106, 161, 301 |
| 113, 97, 106, 23, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 113 x 97 x 106 x 23 x 43 = 80435983180
Therefore, the lowest common multiple of 565,970,212,805,602 is 80435983180.
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.
565 x 970 x 212 x 805 x 602 = 56305188226000
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.
565 : 1, 5, 113, 565
970 : 1, 2, 5, 10, 97, 194, 485, 970
212 : 1, 2, 4, 53, 106, 212
805 : 1, 5, 7, 23, 35, 115, 161, 805
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,970,212,805,602, is 1.
Now, the common factors can be found like this.
565:5x 113
970:2x 5x 97
212:2x 2x 53
805:5x 7x 23
602:2x 7x 43
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 5x 5x 7 = 700
Therefore, the value for common factors is 700.
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 = 56305188226000/(1x700)
LCM = 56305188226000/700
LCM = 80435983180
Thus, we can understand that the LCM of 565,970,212,805,602 is 80435983180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 565, 970, 212, 805, 602
1. What is the LCM of 565, 970, 212, 805, 602?
Answer: LCM of 565, 970, 212, 805, 602 is 80435983180.
2. How to calculate the LCM of 565, 970, 212, 805, 602?
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 565, 970, 212, 805, 602.
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}.