LCM of 177, 152, 768, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 152, 768, 126 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 177, 152, 768, 126. So, keep reading to learn more.
Given numbers are 177,152,768,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,152,768,126 is 18079488.
Find LCM of 177,152,768,126 with Prime Factorization
| 2 | 177, 152, 768, 126 |
| 2 | 177, 76, 384, 63 |
| 2 | 177, 38, 192, 63 |
| 3 | 177, 19, 96, 63 |
| 59, 19, 32, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 59 x 19 x 32 x 21 = 18079488
Therefore, the lowest common multiple of 177,152,768,126 is 18079488.
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.
177 x 152 x 768 x 126 = 2603446272
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.
177 : 1, 3, 59, 177
152 : 1, 2, 4, 8, 19, 38, 76, 152
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,152,768,126, is 1.
Now, the common factors can be found like this.
177:3x 59
152:2x 2x 2x 19
768:2x 2x 2x 2x 2x 2x 2x 2x 3
126:2x 3x 3x 7
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 3 = 144
Therefore, the value for common factors is 144.
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 = 2603446272/(1x144)
LCM = 2603446272/144
LCM = 18079488
Thus, we can understand that the LCM of 177,152,768,126 is 18079488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 177, 152, 768, 126
1. What is the LCM of 177, 152, 768, 126?
Answer: LCM of 177, 152, 768, 126 is 18079488.
2. How to calculate the LCM of 177, 152, 768, 126?
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 177, 152, 768, 126.
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}.