LCM of 393, 900, 655, 274, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 900, 655, 274, 438 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 393, 900, 655, 274, 438. So, keep reading to learn more.
Given numbers are 393,900,655,274,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,900,655,274,438 is 1179117900.
Find LCM of 393,900,655,274,438 with Prime Factorization
| 2 | 393, 900, 655, 274, 438 |
| 3 | 393, 450, 655, 137, 219 |
| 5 | 131, 150, 655, 137, 73 |
| 131 | 131, 30, 131, 137, 73 |
| 1, 30, 1, 137, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 131 x 1 x 30 x 1 x 137 x 73 = 1179117900
Therefore, the lowest common multiple of 393,900,655,274,438 is 1179117900.
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.
393 x 900 x 655 x 274 x 438 = 27803600082000
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.
393 : 1, 3, 131, 393
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
655 : 1, 5, 131, 655
274 : 1, 2, 137, 274
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,900,655,274,438, is 1.
Now, the common factors can be found like this.
393:3x 131
900:2x 2x 3x 3x 5x 5
655:5x 131
274:2x 137
438:2x 3x 73
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 3x 3x 5x 131 = 23580
Therefore, the value for common factors is 23580.
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 = 27803600082000/(1x23580)
LCM = 27803600082000/23580
LCM = 1179117900
Thus, we can understand that the LCM of 393,900,655,274,438 is 1179117900.
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FAQs on LCM of 393, 900, 655, 274, 438
1. What is the LCM of 393, 900, 655, 274, 438?
Answer: LCM of 393, 900, 655, 274, 438 is 1179117900.
2. How to calculate the LCM of 393, 900, 655, 274, 438?
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 393, 900, 655, 274, 438.
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}.