LCM of 906, 283, 266, 609, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 283, 266, 609, 321 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 906, 283, 266, 609, 321. So, keep reading to learn more.
Given numbers are 906,283,266,609,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,283,266,609,321 is 105815198202.
Find LCM of 906,283,266,609,321 with Prime Factorization
| 2 | 906, 283, 266, 609, 321 |
| 3 | 453, 283, 133, 609, 321 |
| 7 | 151, 283, 133, 203, 107 |
| 151, 283, 19, 29, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 151 x 283 x 19 x 29 x 107 = 105815198202
Therefore, the lowest common multiple of 906,283,266,609,321 is 105815198202.
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.
906 x 283 x 266 x 609 x 321 = 13332714973452
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
283 : 1, 283
266 : 1, 2, 7, 14, 19, 38, 133, 266
609 : 1, 3, 7, 21, 29, 87, 203, 609
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,283,266,609,321, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
283:283
266:2x 7x 19
609:3x 7x 29
321:3x 107
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 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 13332714973452/(1x126)
LCM = 13332714973452/126
LCM = 105815198202
Thus, we can understand that the LCM of 906,283,266,609,321 is 105815198202.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 283, 266, 609, 321
1. What is the LCM of 906, 283, 266, 609, 321?
Answer: LCM of 906, 283, 266, 609, 321 is 105815198202.
2. How to calculate the LCM of 906, 283, 266, 609, 321?
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 906, 283, 266, 609, 321.
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}.