LCM of 587, 175, 315, 156, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 175, 315, 156, 868 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 587, 175, 315, 156, 868. So, keep reading to learn more.
Given numbers are 587,175,315,156,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,175,315,156,868 is 1490334300.
Find LCM of 587,175,315,156,868 with Prime Factorization
| 2 | 587, 175, 315, 156, 868 |
| 2 | 587, 175, 315, 78, 434 |
| 3 | 587, 175, 315, 39, 217 |
| 5 | 587, 175, 105, 13, 217 |
| 7 | 587, 35, 21, 13, 217 |
| 587, 5, 3, 13, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 587 x 5 x 3 x 13 x 31 = 1490334300
Therefore, the lowest common multiple of 587,175,315,156,868 is 1490334300.
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.
587 x 175 x 315 x 156 x 868 = 4381582842000
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.
587 : 1, 587
175 : 1, 5, 7, 25, 35, 175
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,175,315,156,868, is 1.
Now, the common factors can be found like this.
587:587
175:5x 5x 7
315:3x 3x 5x 7
156:2x 2x 3x 13
868:2x 2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 7x 7 = 2940
Therefore, the value for common factors is 2940.
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 = 4381582842000/(1x2940)
LCM = 4381582842000/2940
LCM = 1490334300
Thus, we can understand that the LCM of 587,175,315,156,868 is 1490334300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 587, 175, 315, 156, 868
1. What is the LCM of 587, 175, 315, 156, 868?
Answer: LCM of 587, 175, 315, 156, 868 is 1490334300.
2. How to calculate the LCM of 587, 175, 315, 156, 868?
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 587, 175, 315, 156, 868.
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}.