LCM of 753, 360, 466, 159, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 360, 466, 159, 466 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 753, 360, 466, 159, 466. So, keep reading to learn more.
Given numbers are 753,360,466,159,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,360,466,159,466 is 1115855640.
Find LCM of 753,360,466,159,466 with Prime Factorization
| 2 | 753, 360, 466, 159, 466 |
| 3 | 753, 180, 233, 159, 233 |
| 233 | 251, 60, 233, 53, 233 |
| 251, 60, 1, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 251 x 60 x 1 x 53 x 1 = 1115855640
Therefore, the lowest common multiple of 753,360,466,159,466 is 1115855640.
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.
753 x 360 x 466 x 159 x 466 = 9359797108320
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.
753 : 1, 3, 251, 753
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
466 : 1, 2, 233, 466
159 : 1, 3, 53, 159
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,360,466,159,466, is 1.
Now, the common factors can be found like this.
753:3x 251
360:2x 2x 2x 3x 3x 5
466:2x 233
159:3x 53
466:2x 233
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 233 = 8388
Therefore, the value for common factors is 8388.
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 = 9359797108320/(1x8388)
LCM = 9359797108320/8388
LCM = 1115855640
Thus, we can understand that the LCM of 753,360,466,159,466 is 1115855640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 753, 360, 466, 159, 466
1. What is the LCM of 753, 360, 466, 159, 466?
Answer: LCM of 753, 360, 466, 159, 466 is 1115855640.
2. How to calculate the LCM of 753, 360, 466, 159, 466?
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 753, 360, 466, 159, 466.
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}.