LCM of 343, 526, 588, 287, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 526, 588, 287, 451 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, 526, 588, 287, 451. So, keep reading to learn more.
Given numbers are 343,526,588,287,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,526,588,287,451 is 488211108.
Find LCM of 343,526,588,287,451 with Prime Factorization
| 2 | 343, 526, 588, 287, 451 |
| 7 | 343, 263, 294, 287, 451 |
| 7 | 49, 263, 42, 41, 451 |
| 41 | 7, 263, 6, 41, 451 |
| 7, 263, 6, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 41 x 7 x 263 x 6 x 1 x 11 = 488211108
Therefore, the lowest common multiple of 343,526,588,287,451 is 488211108.
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 526 x 588 x 287 x 451 = 13731425623608
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
526 : 1, 2, 263, 526
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
287 : 1, 7, 41, 287
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,526,588,287,451, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
526:2x 263
588:2x 2x 3x 7x 7
287:7x 41
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7x 41 = 28126
Therefore, the value for common factors is 28126.
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 = 13731425623608/(1x28126)
LCM = 13731425623608/28126
LCM = 488211108
Thus, we can understand that the LCM of 343,526,588,287,451 is 488211108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 526, 588, 287, 451
1. What is the LCM of 343, 526, 588, 287, 451?
Answer: LCM of 343, 526, 588, 287, 451 is 488211108.
2. How to calculate the LCM of 343, 526, 588, 287, 451?
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, 526, 588, 287, 451.
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}.