LCM of 493, 354, 120, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 354, 120, 400 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 493, 354, 120, 400. So, keep reading to learn more.
Given numbers are 493,354,120,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,354,120,400 is 34904400.
Find LCM of 493,354,120,400 with Prime Factorization
| 2 | 493, 354, 120, 400 |
| 2 | 493, 177, 60, 200 |
| 2 | 493, 177, 30, 100 |
| 3 | 493, 177, 15, 50 |
| 5 | 493, 59, 5, 50 |
| 493, 59, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 493 x 59 x 1 x 10 = 34904400
Therefore, the lowest common multiple of 493,354,120,400 is 34904400.
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.
493 x 354 x 120 x 400 = 8377056000
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.
493 : 1, 17, 29, 493
354 : 1, 2, 3, 6, 59, 118, 177, 354
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,354,120,400, is 1.
Now, the common factors can be found like this.
493:17x 29
354:2x 3x 59
120:2x 2x 2x 3x 5
400:2x 2x 2x 2x 5x 5
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 5 = 240
Therefore, the value for common factors is 240.
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 = 8377056000/(1x240)
LCM = 8377056000/240
LCM = 34904400
Thus, we can understand that the LCM of 493,354,120,400 is 34904400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 354, 120, 400
1. What is the LCM of 493, 354, 120, 400?
Answer: LCM of 493, 354, 120, 400 is 34904400.
2. How to calculate the LCM of 493, 354, 120, 400?
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 493, 354, 120, 400.
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}.