LCM of 252, 870, 310, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 870, 310, 100 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 252, 870, 310, 100. So, keep reading to learn more.
Given numbers are 252,870,310,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,870,310,100 is 5663700.
Find LCM of 252,870,310,100 with Prime Factorization
| 2 | 252, 870, 310, 100 |
| 2 | 126, 435, 155, 50 |
| 3 | 63, 435, 155, 25 |
| 5 | 21, 145, 155, 25 |
| 21, 29, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 21 x 29 x 31 x 5 = 5663700
Therefore, the lowest common multiple of 252,870,310,100 is 5663700.
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.
252 x 870 x 310 x 100 = 6796440000
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
310 : 1, 2, 5, 10, 31, 62, 155, 310
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,870,310,100, is 2.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
870:2x 3x 5x 29
310:2x 5x 31
100:2x 2x 5x 5
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 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 6796440000/(2x600)
LCM = 6796440000/1200
LCM = 5663700
Thus, we can understand that the LCM of 252,870,310,100 is 5663700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 252, 870, 310, 100
1. What is the LCM of 252, 870, 310, 100?
Answer: LCM of 252, 870, 310, 100 is 5663700.
2. How to calculate the LCM of 252, 870, 310, 100?
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 252, 870, 310, 100.
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}.