LCM of 972, 864, 466, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 864, 466, 118 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 972, 864, 466, 118. So, keep reading to learn more.
Given numbers are 972,864,466,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,864,466,118 is 106896672.
Find LCM of 972,864,466,118 with Prime Factorization
| 2 | 972, 864, 466, 118 |
| 2 | 486, 432, 233, 59 |
| 3 | 243, 216, 233, 59 |
| 3 | 81, 72, 233, 59 |
| 3 | 27, 24, 233, 59 |
| 9, 8, 233, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 9 x 8 x 233 x 59 = 106896672
Therefore, the lowest common multiple of 972,864,466,118 is 106896672.
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.
972 x 864 x 466 x 118 = 46179362304
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
466 : 1, 2, 233, 466
118 : 1, 2, 59, 118
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,864,466,118, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
864:2x 2x 2x 2x 2x 3x 3x 3
466:2x 233
118:2x 59
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 46179362304/(2x216)
LCM = 46179362304/432
LCM = 106896672
Thus, we can understand that the LCM of 972,864,466,118 is 106896672.
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FAQs on LCM of 972, 864, 466, 118
1. What is the LCM of 972, 864, 466, 118?
Answer: LCM of 972, 864, 466, 118 is 106896672.
2. How to calculate the LCM of 972, 864, 466, 118?
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 972, 864, 466, 118.
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}.