LCM of 645, 347, 989, 828, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 347, 989, 828, 849 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, 347, 989, 828, 849. So, keep reading to learn more.
Given numbers are 645,347,989,828,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,347,989,828,849 is 17481742020.
Find LCM of 645,347,989,828,849 with Prime Factorization
| 3 | 645, 347, 989, 828, 849 |
| 23 | 215, 347, 989, 276, 283 |
| 43 | 215, 347, 43, 12, 283 |
| 5, 347, 1, 12, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 43 x 5 x 347 x 1 x 12 x 283 = 17481742020
Therefore, the lowest common multiple of 645,347,989,828,849 is 17481742020.
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 347 x 989 x 828 x 849 = 155604985720020
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
347 : 1, 347
989 : 1, 23, 43, 989
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,347,989,828,849, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
347:347
989:23x 43
828:2x 2x 3x 3x 23
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23x 43 = 8901
Therefore, the value for common factors is 8901.
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 = 155604985720020/(1x8901)
LCM = 155604985720020/8901
LCM = 17481742020
Thus, we can understand that the LCM of 645,347,989,828,849 is 17481742020.
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FAQs on LCM of 645, 347, 989, 828, 849
1. What is the LCM of 645, 347, 989, 828, 849?
Answer: LCM of 645, 347, 989, 828, 849 is 17481742020.
2. How to calculate the LCM of 645, 347, 989, 828, 849?
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, 347, 989, 828, 849.
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}.