LCM of 343, 240, 385, 441, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 240, 385, 441, 583 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 343, 240, 385, 441, 583. So, keep reading to learn more.
Given numbers are 343,240,385,441,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,240,385,441,583 is 143977680.
Find LCM of 343,240,385,441,583 with Prime Factorization
| 3 | 343, 240, 385, 441, 583 |
| 5 | 343, 80, 385, 147, 583 |
| 7 | 343, 16, 77, 147, 583 |
| 7 | 49, 16, 11, 21, 583 |
| 11 | 7, 16, 11, 3, 583 |
| 7, 16, 1, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 7 x 11 x 7 x 16 x 1 x 3 x 53 = 143977680
Therefore, the lowest common multiple of 343,240,385,441,583 is 143977680.
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.
343 x 240 x 385 x 441 x 583 = 8148416799600
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.
343 : 1, 7, 49, 343
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
385 : 1, 5, 7, 11, 35, 55, 77, 385
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,240,385,441,583, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
240:2x 2x 2x 2x 3x 5
385:5x 7x 11
441:3x 3x 7x 7
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7x 7x 11 = 56595
Therefore, the value for common factors is 56595.
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 = 8148416799600/(1x56595)
LCM = 8148416799600/56595
LCM = 143977680
Thus, we can understand that the LCM of 343,240,385,441,583 is 143977680.
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FAQs on LCM of 343, 240, 385, 441, 583
1. What is the LCM of 343, 240, 385, 441, 583?
Answer: LCM of 343, 240, 385, 441, 583 is 143977680.
2. How to calculate the LCM of 343, 240, 385, 441, 583?
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 343, 240, 385, 441, 583.
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}.