LCM of 476, 966, 372, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 966, 372, 464 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 476, 966, 372, 464. So, keep reading to learn more.
Given numbers are 476,966,372,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,966,372,464 is 118107024.
Find LCM of 476,966,372,464 with Prime Factorization
| 2 | 476, 966, 372, 464 |
| 2 | 238, 483, 186, 232 |
| 3 | 119, 483, 93, 116 |
| 7 | 119, 161, 31, 116 |
| 17, 23, 31, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 23 x 31 x 116 = 118107024
Therefore, the lowest common multiple of 476,966,372,464 is 118107024.
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.
476 x 966 x 372 x 464 = 79367920128
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,966,372,464, is 2.
Now, the common factors can be found like this.
476:2x 2x 7x 17
966:2x 3x 7x 23
372:2x 2x 3x 31
464:2x 2x 2x 2x 29
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 79367920128/(2x336)
LCM = 79367920128/672
LCM = 118107024
Thus, we can understand that the LCM of 476,966,372,464 is 118107024.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 476, 966, 372, 464
1. What is the LCM of 476, 966, 372, 464?
Answer: LCM of 476, 966, 372, 464 is 118107024.
2. How to calculate the LCM of 476, 966, 372, 464?
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 476, 966, 372, 464.
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}.