LCM of 132, 492, 771, 892, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 492, 771, 892, 774 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 132, 492, 771, 892, 774. So, keep reading to learn more.
Given numbers are 132,492,771,892,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,492,771,892,774 is 40011560028.
Find LCM of 132,492,771,892,774 with Prime Factorization
| 2 | 132, 492, 771, 892, 774 |
| 2 | 66, 246, 771, 446, 387 |
| 3 | 33, 123, 771, 223, 387 |
| 11, 41, 257, 223, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 41 x 257 x 223 x 129 = 40011560028
Therefore, the lowest common multiple of 132,492,771,892,774 is 40011560028.
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.
132 x 492 x 771 x 892 x 774 = 34569987864192
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
771 : 1, 3, 257, 771
892 : 1, 2, 4, 223, 446, 892
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,492,771,892,774, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
492:2x 2x 3x 41
771:3x 257
892:2x 2x 223
774:2x 3x 3x 43
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 34569987864192/(1x864)
LCM = 34569987864192/864
LCM = 40011560028
Thus, we can understand that the LCM of 132,492,771,892,774 is 40011560028.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 132, 492, 771, 892, 774
1. What is the LCM of 132, 492, 771, 892, 774?
Answer: LCM of 132, 492, 771, 892, 774 is 40011560028.
2. How to calculate the LCM of 132, 492, 771, 892, 774?
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 132, 492, 771, 892, 774.
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}.