Find the LCM of 707, 395, 282, 319, 846 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 707, 395, 282, 319, 846. So, keep reading to learn more.
Given numbers are 707,395,282,319,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,395,282,319,846 is 75366362610.
Find LCM of 707,395,282,319,846 with Prime Factorization
2 | 707, 395, 282, 319, 846 |
3 | 707, 395, 141, 319, 423 |
47 | 707, 395, 47, 319, 141 |
707, 395, 1, 319, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 707 x 395 x 1 x 319 x 3 = 75366362610
Therefore, the lowest common multiple of 707,395,282,319,846 is 75366362610.
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.
707 x 395 x 282 x 319 x 846 = 21253314256020
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.
707 : 1, 7, 101, 707
395 : 1, 5, 79, 395
282 : 1, 2, 3, 6, 47, 94, 141, 282
319 : 1, 11, 29, 319
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,395,282,319,846, is 1.
Now, the common factors can be found like this.
707:7x 101
395:5x 79
282:2x 3x 47
319:11x 29
846:2x 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.
2x 3x 47 = 282
Therefore, the value for common factors is 282.
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 = 21253314256020/(1x282)
LCM = 21253314256020/282
LCM = 75366362610
Thus, we can understand that the LCM of 707,395,282,319,846 is 75366362610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 395, 282, 319, 846?
Answer: LCM of 707, 395, 282, 319, 846 is 75366362610.
2. How to calculate the LCM of 707, 395, 282, 319, 846?
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 707, 395, 282, 319, 846.
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}.