LCM of 322, 137, 342, 584, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 137, 342, 584, 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 322, 137, 342, 584, 749. So, keep reading to learn more.
Given numbers are 322,137,342,584,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,137,342,584,749 is 235688926536.
Find LCM of 322,137,342,584,749 with Prime Factorization
| 2 | 322, 137, 342, 584, 749 |
| 7 | 161, 137, 171, 292, 749 |
| 23, 137, 171, 292, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 137 x 171 x 292 x 107 = 235688926536
Therefore, the lowest common multiple of 322,137,342,584,749 is 235688926536.
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.
322 x 137 x 342 x 584 x 749 = 6599289943008
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
137 : 1, 137
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
584 : 1, 2, 4, 8, 73, 146, 292, 584
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,137,342,584,749, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
137:137
342:2x 3x 3x 19
584:2x 2x 2x 73
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 2x 7 = 28
Therefore, the value for common factors is 28.
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 = 6599289943008/(1x28)
LCM = 6599289943008/28
LCM = 235688926536
Thus, we can understand that the LCM of 322,137,342,584,749 is 235688926536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 137, 342, 584, 749
1. What is the LCM of 322, 137, 342, 584, 749?
Answer: LCM of 322, 137, 342, 584, 749 is 235688926536.
2. How to calculate the LCM of 322, 137, 342, 584, 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 322, 137, 342, 584, 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}.