LCM of 945, 255, 855, 703, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 255, 855, 703, 283 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 945, 255, 855, 703, 283. So, keep reading to learn more.
Given numbers are 945,255,855,703,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,255,855,703,283 is 3196115685.
Find LCM of 945,255,855,703,283 with Prime Factorization
| 3 | 945, 255, 855, 703, 283 |
| 3 | 315, 85, 285, 703, 283 |
| 5 | 105, 85, 95, 703, 283 |
| 19 | 21, 17, 19, 703, 283 |
| 21, 17, 1, 37, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 21 x 17 x 1 x 37 x 283 = 3196115685
Therefore, the lowest common multiple of 945,255,855,703,283 is 3196115685.
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.
945 x 255 x 855 x 703 x 283 = 40990183660125
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
255 : 1, 3, 5, 15, 17, 51, 85, 255
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
703 : 1, 19, 37, 703
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,255,855,703,283, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
255:3x 5x 17
855:3x 3x 5x 19
703:19x 37
283:283
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 3x 5x 5x 19 = 12825
Therefore, the value for common factors is 12825.
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 = 40990183660125/(1x12825)
LCM = 40990183660125/12825
LCM = 3196115685
Thus, we can understand that the LCM of 945,255,855,703,283 is 3196115685.
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FAQs on LCM of 945, 255, 855, 703, 283
1. What is the LCM of 945, 255, 855, 703, 283?
Answer: LCM of 945, 255, 855, 703, 283 is 3196115685.
2. How to calculate the LCM of 945, 255, 855, 703, 283?
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 945, 255, 855, 703, 283.
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}.