LCM of 315, 877, 707, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 877, 707, 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 315, 877, 707, 423. So, keep reading to learn more.
Given numbers are 315,877,707,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,877,707,423 is 1311382485.
Find LCM of 315,877,707,423 with Prime Factorization
| 3 | 315, 877, 707, 423 |
| 3 | 105, 877, 707, 141 |
| 7 | 35, 877, 707, 47 |
| 5, 877, 101, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 5 x 877 x 101 x 47 = 1311382485
Therefore, the lowest common multiple of 315,877,707,423 is 1311382485.
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.
315 x 877 x 707 x 423 = 82617096555
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
877 : 1, 877
707 : 1, 7, 101, 707
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 315,877,707,423, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
877:877
707:7x 101
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 7 = 63
Therefore, the value for common factors is 63.
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 = 82617096555/(1x63)
LCM = 82617096555/63
LCM = 1311382485
Thus, we can understand that the LCM of 315,877,707,423 is 1311382485.
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FAQs on LCM of 315, 877, 707, 423
1. What is the LCM of 315, 877, 707, 423?
Answer: LCM of 315, 877, 707, 423 is 1311382485.
2. How to calculate the LCM of 315, 877, 707, 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 315, 877, 707, 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}.