LCM of 395, 555, 945, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 555, 945, 423 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 395, 555, 945, 423. So, keep reading to learn more.
Given numbers are 395,555,945,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,555,945,423 is 129825045.
Find LCM of 395,555,945,423 with Prime Factorization
| 3 | 395, 555, 945, 423 |
| 3 | 395, 185, 315, 141 |
| 5 | 395, 185, 105, 47 |
| 79, 37, 21, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 79 x 37 x 21 x 47 = 129825045
Therefore, the lowest common multiple of 395,555,945,423 is 129825045.
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.
395 x 555 x 945 x 423 = 87631905375
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.
395 : 1, 5, 79, 395
555 : 1, 3, 5, 15, 37, 111, 185, 555
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,555,945,423, is 1.
Now, the common factors can be found like this.
395:5x 79
555:3x 5x 37
945:3x 3x 3x 5x 7
423:3x 3x 47
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 5 = 675
Therefore, the value for common factors is 675.
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 = 87631905375/(1x675)
LCM = 87631905375/675
LCM = 129825045
Thus, we can understand that the LCM of 395,555,945,423 is 129825045.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 395, 555, 945, 423
1. What is the LCM of 395, 555, 945, 423?
Answer: LCM of 395, 555, 945, 423 is 129825045.
2. How to calculate the LCM of 395, 555, 945, 423?
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 395, 555, 945, 423.
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}.