LCM of 310, 728, 782, 955, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 728, 782, 955, 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 310, 728, 782, 955, 210. So, keep reading to learn more.
Given numbers are 310,728,782,955,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,728,782,955,210 is 25281012120.
Find LCM of 310,728,782,955,210 with Prime Factorization
| 2 | 310, 728, 782, 955, 210 |
| 5 | 155, 364, 391, 955, 105 |
| 7 | 31, 364, 391, 191, 21 |
| 31, 52, 391, 191, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 31 x 52 x 391 x 191 x 3 = 25281012120
Therefore, the lowest common multiple of 310,728,782,955,210 is 25281012120.
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.
310 x 728 x 782 x 955 x 210 = 35393416968000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
782 : 1, 2, 17, 23, 34, 46, 391, 782
955 : 1, 5, 191, 955
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,728,782,955,210, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
728:2x 2x 2x 7x 13
782:2x 17x 23
955:5x 191
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.
2x 2x 2x 5x 5x 7 = 1400
Therefore, the value for common factors is 1400.
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 = 35393416968000/(1x1400)
LCM = 35393416968000/1400
LCM = 25281012120
Thus, we can understand that the LCM of 310,728,782,955,210 is 25281012120.
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FAQs on LCM of 310, 728, 782, 955, 210
1. What is the LCM of 310, 728, 782, 955, 210?
Answer: LCM of 310, 728, 782, 955, 210 is 25281012120.
2. How to calculate the LCM of 310, 728, 782, 955, 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 310, 728, 782, 955, 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}.