LCM of 645, 482, 453, 655, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 482, 453, 655, 482 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 645, 482, 453, 655, 482. So, keep reading to learn more.
Given numbers are 645,482,453,655,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,482,453,655,482 is 6149715090.
Find LCM of 645,482,453,655,482 with Prime Factorization
| 2 | 645, 482, 453, 655, 482 |
| 3 | 645, 241, 453, 655, 241 |
| 5 | 215, 241, 151, 655, 241 |
| 241 | 43, 241, 151, 131, 241 |
| 43, 1, 151, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 241 x 43 x 1 x 151 x 131 x 1 = 6149715090
Therefore, the lowest common multiple of 645,482,453,655,482 is 6149715090.
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.
645 x 482 x 453 x 655 x 482 = 44462440100700
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
482 : 1, 2, 241, 482
453 : 1, 3, 151, 453
655 : 1, 5, 131, 655
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,482,453,655,482, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
482:2x 241
453:3x 151
655:5x 131
482:2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 241 = 7230
Therefore, the value for common factors is 7230.
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 = 44462440100700/(1x7230)
LCM = 44462440100700/7230
LCM = 6149715090
Thus, we can understand that the LCM of 645,482,453,655,482 is 6149715090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 645, 482, 453, 655, 482
1. What is the LCM of 645, 482, 453, 655, 482?
Answer: LCM of 645, 482, 453, 655, 482 is 6149715090.
2. How to calculate the LCM of 645, 482, 453, 655, 482?
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 645, 482, 453, 655, 482.
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}.