LCM of 343, 357, 828, 350, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 357, 828, 350, 749 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, 357, 828, 350, 749. So, keep reading to learn more.
Given numbers are 343,357,828,350,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,357,828,350,749 is 12915081900.
Find LCM of 343,357,828,350,749 with Prime Factorization
| 2 | 343, 357, 828, 350, 749 |
| 3 | 343, 357, 414, 175, 749 |
| 7 | 343, 119, 138, 175, 749 |
| 49, 17, 138, 25, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 49 x 17 x 138 x 25 x 107 = 12915081900
Therefore, the lowest common multiple of 343,357,828,350,749 is 12915081900.
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 357 x 828 x 350 x 749 = 26579238550200
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
357 : 1, 3, 7, 17, 21, 51, 119, 357
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,357,828,350,749, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
357:3x 7x 17
828:2x 2x 3x 3x 23
350:2x 5x 5x 7
749:7x 107
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 7x 7x 7 = 2058
Therefore, the value for common factors is 2058.
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 = 26579238550200/(1x2058)
LCM = 26579238550200/2058
LCM = 12915081900
Thus, we can understand that the LCM of 343,357,828,350,749 is 12915081900.
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FAQs on LCM of 343, 357, 828, 350, 749
1. What is the LCM of 343, 357, 828, 350, 749?
Answer: LCM of 343, 357, 828, 350, 749 is 12915081900.
2. How to calculate the LCM of 343, 357, 828, 350, 749?
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, 357, 828, 350, 749.
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}.