LCM of 953, 327, 381, 775, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 327, 381, 775, 508 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 953, 327, 381, 775, 508. So, keep reading to learn more.
Given numbers are 953,327,381,775,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,327,381,775,508 is 122689124700.
Find LCM of 953,327,381,775,508 with Prime Factorization
| 3 | 953, 327, 381, 775, 508 |
| 127 | 953, 109, 127, 775, 508 |
| 953, 109, 1, 775, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 127 x 953 x 109 x 1 x 775 x 4 = 122689124700
Therefore, the lowest common multiple of 953,327,381,775,508 is 122689124700.
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.
953 x 327 x 381 x 775 x 508 = 46744556510700
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.
953 : 1, 953
327 : 1, 3, 109, 327
381 : 1, 3, 127, 381
775 : 1, 5, 25, 31, 155, 775
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,327,381,775,508, is 1.
Now, the common factors can be found like this.
953:953
327:3x 109
381:3x 127
775:5x 5x 31
508:2x 2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 127 = 381
Therefore, the value for common factors is 381.
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 = 46744556510700/(1x381)
LCM = 46744556510700/381
LCM = 122689124700
Thus, we can understand that the LCM of 953,327,381,775,508 is 122689124700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 953, 327, 381, 775, 508
1. What is the LCM of 953, 327, 381, 775, 508?
Answer: LCM of 953, 327, 381, 775, 508 is 122689124700.
2. How to calculate the LCM of 953, 327, 381, 775, 508?
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 953, 327, 381, 775, 508.
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}.