LCM of 484, 764, 948, 370, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 764, 948, 370, 755 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 484, 764, 948, 370, 755. So, keep reading to learn more.
Given numbers are 484,764,948,370,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,764,948,370,755 is 612034284180.
Find LCM of 484,764,948,370,755 with Prime Factorization
| 2 | 484, 764, 948, 370, 755 |
| 2 | 242, 382, 474, 185, 755 |
| 5 | 121, 191, 237, 185, 755 |
| 121, 191, 237, 37, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 121 x 191 x 237 x 37 x 151 = 612034284180
Therefore, the lowest common multiple of 484,764,948,370,755 is 612034284180.
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.
484 x 764 x 948 x 370 x 755 = 97925485468800
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
764 : 1, 2, 4, 191, 382, 764
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
370 : 1, 2, 5, 10, 37, 74, 185, 370
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,764,948,370,755, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
764:2x 2x 191
948:2x 2x 3x 79
370:2x 5x 37
755:5x 151
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 5 = 160
Therefore, the value for common factors is 160.
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 = 97925485468800/(1x160)
LCM = 97925485468800/160
LCM = 612034284180
Thus, we can understand that the LCM of 484,764,948,370,755 is 612034284180.
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FAQs on LCM of 484, 764, 948, 370, 755
1. What is the LCM of 484, 764, 948, 370, 755?
Answer: LCM of 484, 764, 948, 370, 755 is 612034284180.
2. How to calculate the LCM of 484, 764, 948, 370, 755?
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 484, 764, 948, 370, 755.
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}.