LCM of 722, 906, 741, 698, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 906, 741, 698, 343 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 722, 906, 741, 698, 343. So, keep reading to learn more.
Given numbers are 722,906,741,698,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,906,741,698,343 is 508977165606.
Find LCM of 722,906,741,698,343 with Prime Factorization
| 2 | 722, 906, 741, 698, 343 |
| 3 | 361, 453, 741, 349, 343 |
| 19 | 361, 151, 247, 349, 343 |
| 19, 151, 13, 349, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 19 x 151 x 13 x 349 x 343 = 508977165606
Therefore, the lowest common multiple of 722,906,741,698,343 is 508977165606.
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.
722 x 906 x 741 x 698 x 343 = 116046793758168
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.
722 : 1, 2, 19, 38, 361, 722
906 : 1, 2, 3, 6, 151, 302, 453, 906
741 : 1, 3, 13, 19, 39, 57, 247, 741
698 : 1, 2, 349, 698
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,906,741,698,343, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
906:2x 3x 151
741:3x 13x 19
698:2x 349
343:7x 7x 7
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 116046793758168/(1x228)
LCM = 116046793758168/228
LCM = 508977165606
Thus, we can understand that the LCM of 722,906,741,698,343 is 508977165606.
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FAQs on LCM of 722, 906, 741, 698, 343
1. What is the LCM of 722, 906, 741, 698, 343?
Answer: LCM of 722, 906, 741, 698, 343 is 508977165606.
2. How to calculate the LCM of 722, 906, 741, 698, 343?
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 722, 906, 741, 698, 343.
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}.