LCM of 875, 695, 975, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 875, 695, 975, 210 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 875, 695, 975, 210. So, keep reading to learn more.
Given numbers are 875,695,975,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,695,975,210 is 9486750.
Find LCM of 875,695,975,210 with Prime Factorization
| 3 | 875, 695, 975, 210 |
| 5 | 875, 695, 325, 70 |
| 5 | 175, 139, 65, 14 |
| 7 | 35, 139, 13, 14 |
| 5, 139, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 5 x 139 x 13 x 2 = 9486750
Therefore, the lowest common multiple of 875,695,975,210 is 9486750.
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.
875 x 695 x 975 x 210 = 124513593750
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
695 : 1, 5, 139, 695
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,695,975,210, is 5.
Now, the common factors can be found like this.
875:5x 5x 5x 7
695:5x 139
975:3x 5x 5x 13
210:2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 7 = 2625
Therefore, the value for common factors is 2625.
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 = 124513593750/(5x2625)
LCM = 124513593750/13125
LCM = 9486750
Thus, we can understand that the LCM of 875,695,975,210 is 9486750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 875, 695, 975, 210
1. What is the LCM of 875, 695, 975, 210?
Answer: LCM of 875, 695, 975, 210 is 9486750.
2. How to calculate the LCM of 875, 695, 975, 210?
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 875, 695, 975, 210.
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}.