LCM of 277, 676, 152, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 676, 152, 481 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 277, 676, 152, 481. So, keep reading to learn more.
Given numbers are 277,676,152,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,676,152,481 is 263276312.
Find LCM of 277,676,152,481 with Prime Factorization
| 2 | 277, 676, 152, 481 |
| 2 | 277, 338, 76, 481 |
| 13 | 277, 169, 38, 481 |
| 277, 13, 38, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 277 x 13 x 38 x 37 = 263276312
Therefore, the lowest common multiple of 277,676,152,481 is 263276312.
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.
277 x 676 x 152 x 481 = 13690368224
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.
277 : 1, 277
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
152 : 1, 2, 4, 8, 19, 38, 76, 152
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,676,152,481, is 1.
Now, the common factors can be found like this.
277:277
676:2x 2x 13x 13
152:2x 2x 2x 19
481:13x 37
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 13 = 52
Therefore, the value for common factors is 52.
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 = 13690368224/(1x52)
LCM = 13690368224/52
LCM = 263276312
Thus, we can understand that the LCM of 277,676,152,481 is 263276312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 277, 676, 152, 481
1. What is the LCM of 277, 676, 152, 481?
Answer: LCM of 277, 676, 152, 481 is 263276312.
2. How to calculate the LCM of 277, 676, 152, 481?
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 277, 676, 152, 481.
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}.