LCM of 312, 963, 532, 812, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 963, 532, 812, 266 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 312, 963, 532, 812, 266. So, keep reading to learn more.
Given numbers are 312,963,532,812,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,963,532,812,266 is 386286264.
Find LCM of 312,963,532,812,266 with Prime Factorization
| 2 | 312, 963, 532, 812, 266 |
| 2 | 156, 963, 266, 406, 133 |
| 3 | 78, 963, 133, 203, 133 |
| 7 | 26, 321, 133, 203, 133 |
| 19 | 26, 321, 19, 29, 19 |
| 26, 321, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 26 x 321 x 1 x 29 x 1 = 386286264
Therefore, the lowest common multiple of 312,963,532,812,266 is 386286264.
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.
312 x 963 x 532 x 812 x 266 = 34524721131264
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
963 : 1, 3, 9, 107, 321, 963
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,963,532,812,266, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
963:3x 3x 107
532:2x 2x 7x 19
812:2x 2x 7x 29
266:2x 7x 19
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 2x 2x 3x 7x 7x 19 = 89376
Therefore, the value for common factors is 89376.
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 = 34524721131264/(1x89376)
LCM = 34524721131264/89376
LCM = 386286264
Thus, we can understand that the LCM of 312,963,532,812,266 is 386286264.
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FAQs on LCM of 312, 963, 532, 812, 266
1. What is the LCM of 312, 963, 532, 812, 266?
Answer: LCM of 312, 963, 532, 812, 266 is 386286264.
2. How to calculate the LCM of 312, 963, 532, 812, 266?
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 312, 963, 532, 812, 266.
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}.