LCM of 310, 585, 956, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 585, 956, 892 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, 585, 956, 892. So, keep reading to learn more.
Given numbers are 310,585,956,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,585,956,892 is 3866164380.
Find LCM of 310,585,956,892 with Prime Factorization
| 2 | 310, 585, 956, 892 |
| 2 | 155, 585, 478, 446 |
| 5 | 155, 585, 239, 223 |
| 31, 117, 239, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 117 x 239 x 223 = 3866164380
Therefore, the lowest common multiple of 310,585,956,892 is 3866164380.
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 585 x 956 x 892 = 154646575200
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
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
956 : 1, 2, 4, 239, 478, 956
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,585,956,892, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
585:3x 3x 5x 13
956:2x 2x 239
892:2x 2x 223
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 5 = 40
Therefore, the value for common factors is 40.
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 = 154646575200/(1x40)
LCM = 154646575200/40
LCM = 3866164380
Thus, we can understand that the LCM of 310,585,956,892 is 3866164380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 585, 956, 892
1. What is the LCM of 310, 585, 956, 892?
Answer: LCM of 310, 585, 956, 892 is 3866164380.
2. How to calculate the LCM of 310, 585, 956, 892?
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, 585, 956, 892.
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}.