LCM of 531, 457, 240, 350, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 457, 240, 350, 357 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 531, 457, 240, 350, 357. So, keep reading to learn more.
Given numbers are 531,457,240,350,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,457,240,350,357 is 11550949200.
Find LCM of 531,457,240,350,357 with Prime Factorization
| 2 | 531, 457, 240, 350, 357 |
| 3 | 531, 457, 120, 175, 357 |
| 5 | 177, 457, 40, 175, 119 |
| 7 | 177, 457, 8, 35, 119 |
| 177, 457, 8, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 177 x 457 x 8 x 5 x 17 = 11550949200
Therefore, the lowest common multiple of 531,457,240,350,357 is 11550949200.
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.
531 x 457 x 240 x 350 x 357 = 7277097996000
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.
531 : 1, 3, 9, 59, 177, 531
457 : 1, 457
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,457,240,350,357, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
457:457
240:2x 2x 2x 2x 3x 5
350:2x 5x 5x 7
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 7277097996000/(1x630)
LCM = 7277097996000/630
LCM = 11550949200
Thus, we can understand that the LCM of 531,457,240,350,357 is 11550949200.
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FAQs on LCM of 531, 457, 240, 350, 357
1. What is the LCM of 531, 457, 240, 350, 357?
Answer: LCM of 531, 457, 240, 350, 357 is 11550949200.
2. How to calculate the LCM of 531, 457, 240, 350, 357?
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 531, 457, 240, 350, 357.
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}.