LCM of 813, 966, 461, 532, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 966, 461, 532, 102 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 813, 966, 461, 532, 102. So, keep reading to learn more.
Given numbers are 813,966,461,532,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,966,461,532,102 is 77961441516.
Find LCM of 813,966,461,532,102 with Prime Factorization
| 2 | 813, 966, 461, 532, 102 |
| 3 | 813, 483, 461, 266, 51 |
| 7 | 271, 161, 461, 266, 17 |
| 271, 23, 461, 38, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 271 x 23 x 461 x 38 x 17 = 77961441516
Therefore, the lowest common multiple of 813,966,461,532,102 is 77961441516.
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.
813 x 966 x 461 x 532 x 102 = 19646283262032
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.
813 : 1, 3, 271, 813
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
461 : 1, 461
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,966,461,532,102, is 1.
Now, the common factors can be found like this.
813:3x 271
966:2x 3x 7x 23
461:461
532:2x 2x 7x 19
102:2x 3x 17
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 19646283262032/(1x252)
LCM = 19646283262032/252
LCM = 77961441516
Thus, we can understand that the LCM of 813,966,461,532,102 is 77961441516.
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FAQs on LCM of 813, 966, 461, 532, 102
1. What is the LCM of 813, 966, 461, 532, 102?
Answer: LCM of 813, 966, 461, 532, 102 is 77961441516.
2. How to calculate the LCM of 813, 966, 461, 532, 102?
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 813, 966, 461, 532, 102.
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}.