Find the LCM of 315, 403, 759, 611, 182 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, 403, 759, 611, 182. So, keep reading to learn more.
Given numbers are 315,403,759,611,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,403,759,611,182 is 3019005990.
Find LCM of 315,403,759,611,182 with Prime Factorization
3 | 315, 403, 759, 611, 182 |
7 | 105, 403, 253, 611, 182 |
13 | 15, 403, 253, 611, 26 |
15, 31, 253, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 15 x 31 x 253 x 47 x 2 = 3019005990
Therefore, the lowest common multiple of 315,403,759,611,182 is 3019005990.
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 403 x 759 x 611 x 182 = 10714452258510
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
403 : 1, 13, 31, 403
759 : 1, 3, 11, 23, 33, 69, 253, 759
611 : 1, 13, 47, 611
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,403,759,611,182, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
403:13x 31
759:3x 11x 23
611:13x 47
182:2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13x 13 = 3549
Therefore, the value for common factors is 3549.
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 = 10714452258510/(1x3549)
LCM = 10714452258510/3549
LCM = 3019005990
Thus, we can understand that the LCM of 315,403,759,611,182 is 3019005990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 403, 759, 611, 182?
Answer: LCM of 315, 403, 759, 611, 182 is 3019005990.
2. How to calculate the LCM of 315, 403, 759, 611, 182?
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, 403, 759, 611, 182.
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}.