LCM of 462, 939, 968, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 939, 968, 476 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 462, 939, 968, 476. So, keep reading to learn more.
Given numbers are 462,939,968,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,939,968,476 is 108165288.
Find LCM of 462,939,968,476 with Prime Factorization
| 2 | 462, 939, 968, 476 |
| 2 | 231, 939, 484, 238 |
| 3 | 231, 939, 242, 119 |
| 7 | 77, 313, 242, 119 |
| 11 | 11, 313, 242, 17 |
| 1, 313, 22, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 313 x 22 x 17 = 108165288
Therefore, the lowest common multiple of 462,939,968,476 is 108165288.
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.
462 x 939 x 968 x 476 = 199889452224
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
939 : 1, 3, 313, 939
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,939,968,476, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
939:3x 313
968:2x 2x 2x 11x 11
476:2x 2x 7x 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 2x 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 199889452224/(1x1848)
LCM = 199889452224/1848
LCM = 108165288
Thus, we can understand that the LCM of 462,939,968,476 is 108165288.
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FAQs on LCM of 462, 939, 968, 476
1. What is the LCM of 462, 939, 968, 476?
Answer: LCM of 462, 939, 968, 476 is 108165288.
2. How to calculate the LCM of 462, 939, 968, 476?
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 462, 939, 968, 476.
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}.