LCM of 662, 556, 860, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 556, 860, 645 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 662, 556, 860, 645. So, keep reading to learn more.
Given numbers are 662,556,860,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,556,860,645 is 118703220.
Find LCM of 662,556,860,645 with Prime Factorization
| 2 | 662, 556, 860, 645 |
| 2 | 331, 278, 430, 645 |
| 5 | 331, 139, 215, 645 |
| 43 | 331, 139, 43, 129 |
| 331, 139, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 331 x 139 x 1 x 3 = 118703220
Therefore, the lowest common multiple of 662,556,860,645 is 118703220.
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.
662 x 556 x 860 x 645 = 204169538400
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.
662 : 1, 2, 331, 662
556 : 1, 2, 4, 139, 278, 556
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,556,860,645, is 1.
Now, the common factors can be found like this.
662:2x 331
556:2x 2x 139
860:2x 2x 5x 43
645:3x 5x 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 2x 5x 43 = 1720
Therefore, the value for common factors is 1720.
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 = 204169538400/(1x1720)
LCM = 204169538400/1720
LCM = 118703220
Thus, we can understand that the LCM of 662,556,860,645 is 118703220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 662, 556, 860, 645
1. What is the LCM of 662, 556, 860, 645?
Answer: LCM of 662, 556, 860, 645 is 118703220.
2. How to calculate the LCM of 662, 556, 860, 645?
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 662, 556, 860, 645.
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}.