Find the LCM of 315, 953, 755, 875, 302 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, 953, 755, 875, 302. So, keep reading to learn more.
Given numbers are 315,953,755,875,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,953,755,875,302 is 2266472250.
Find LCM of 315,953,755,875,302 with Prime Factorization
5 | 315, 953, 755, 875, 302 |
7 | 63, 953, 151, 175, 302 |
151 | 9, 953, 151, 25, 302 |
9, 953, 1, 25, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 151 x 9 x 953 x 1 x 25 x 2 = 2266472250
Therefore, the lowest common multiple of 315,953,755,875,302 is 2266472250.
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 953 x 755 x 875 x 302 = 59891529206250
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
953 : 1, 953
755 : 1, 5, 151, 755
875 : 1, 5, 7, 25, 35, 125, 175, 875
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,953,755,875,302, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
953:953
755:5x 151
875:5x 5x 5x 7
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 151 = 26425
Therefore, the value for common factors is 26425.
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 = 59891529206250/(1x26425)
LCM = 59891529206250/26425
LCM = 2266472250
Thus, we can understand that the LCM of 315,953,755,875,302 is 2266472250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 953, 755, 875, 302?
Answer: LCM of 315, 953, 755, 875, 302 is 2266472250.
2. How to calculate the LCM of 315, 953, 755, 875, 302?
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, 953, 755, 875, 302.
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}.