LCM of 343, 208, 300, 541, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 208, 300, 541, 476 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, 208, 300, 541, 476. So, keep reading to learn more.
Given numbers are 343,208,300,541,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,208,300,541,476 is 49211307600.
Find LCM of 343,208,300,541,476 with Prime Factorization
| 2 | 343, 208, 300, 541, 476 |
| 2 | 343, 104, 150, 541, 238 |
| 7 | 343, 52, 75, 541, 119 |
| 49, 52, 75, 541, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 49 x 52 x 75 x 541 x 17 = 49211307600
Therefore, the lowest common multiple of 343,208,300,541,476 is 49211307600.
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 208 x 300 x 541 x 476 = 5511666451200
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
541 : 1, 541
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,208,300,541,476, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
208:2x 2x 2x 2x 13
300:2x 2x 3x 5x 5
541:541
476:2x 2x 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 2x 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 5511666451200/(1x112)
LCM = 5511666451200/112
LCM = 49211307600
Thus, we can understand that the LCM of 343,208,300,541,476 is 49211307600.
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FAQs on LCM of 343, 208, 300, 541, 476
1. What is the LCM of 343, 208, 300, 541, 476?
Answer: LCM of 343, 208, 300, 541, 476 is 49211307600.
2. How to calculate the LCM of 343, 208, 300, 541, 476?
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, 208, 300, 541, 476.
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}.