LCM of 343, 110, 140, 531, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 110, 140, 531, 855 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, 110, 140, 531, 855. So, keep reading to learn more.
Given numbers are 343,110,140,531,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,110,140,531,855 is 761315940.
Find LCM of 343,110,140,531,855 with Prime Factorization
| 2 | 343, 110, 140, 531, 855 |
| 3 | 343, 55, 70, 531, 855 |
| 3 | 343, 55, 70, 177, 285 |
| 5 | 343, 55, 70, 59, 95 |
| 7 | 343, 11, 14, 59, 19 |
| 49, 11, 2, 59, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 49 x 11 x 2 x 59 x 19 = 761315940
Therefore, the lowest common multiple of 343,110,140,531,855 is 761315940.
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 110 x 140 x 531 x 855 = 2398145211000
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
110 : 1, 2, 5, 10, 11, 22, 55, 110
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
531 : 1, 3, 9, 59, 177, 531
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,110,140,531,855, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
110:2x 5x 11
140:2x 2x 5x 7
531:3x 3x 59
855:3x 3x 5x 19
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 5x 7 = 3150
Therefore, the value for common factors is 3150.
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 = 2398145211000/(1x3150)
LCM = 2398145211000/3150
LCM = 761315940
Thus, we can understand that the LCM of 343,110,140,531,855 is 761315940.
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FAQs on LCM of 343, 110, 140, 531, 855
1. What is the LCM of 343, 110, 140, 531, 855?
Answer: LCM of 343, 110, 140, 531, 855 is 761315940.
2. How to calculate the LCM of 343, 110, 140, 531, 855?
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, 110, 140, 531, 855.
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}.