LCM of 812, 334, 143, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 334, 143, 312 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 812, 334, 143, 312. So, keep reading to learn more.
Given numbers are 812,334,143,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,334,143,312 is 116348232.
Find LCM of 812,334,143,312 with Prime Factorization
| 2 | 812, 334, 143, 312 |
| 2 | 406, 167, 143, 156 |
| 13 | 203, 167, 143, 78 |
| 203, 167, 11, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 203 x 167 x 11 x 6 = 116348232
Therefore, the lowest common multiple of 812,334,143,312 is 116348232.
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.
812 x 334 x 143 x 312 = 12100216128
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
334 : 1, 2, 167, 334
143 : 1, 11, 13, 143
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,334,143,312, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
334:2x 167
143:11x 13
312:2x 2x 2x 3x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 12100216128/(1x104)
LCM = 12100216128/104
LCM = 116348232
Thus, we can understand that the LCM of 812,334,143,312 is 116348232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 812, 334, 143, 312
1. What is the LCM of 812, 334, 143, 312?
Answer: LCM of 812, 334, 143, 312 is 116348232.
2. How to calculate the LCM of 812, 334, 143, 312?
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 812, 334, 143, 312.
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}.