LCM of 613, 171, 483, 588, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 171, 483, 588, 962 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 613, 171, 483, 588, 962. So, keep reading to learn more.
Given numbers are 613,171,483,588,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,171,483,588,962 is 227292742404.
Find LCM of 613,171,483,588,962 with Prime Factorization
| 2 | 613, 171, 483, 588, 962 |
| 3 | 613, 171, 483, 294, 481 |
| 7 | 613, 57, 161, 98, 481 |
| 613, 57, 23, 14, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 613 x 57 x 23 x 14 x 481 = 227292742404
Therefore, the lowest common multiple of 613,171,483,588,962 is 227292742404.
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.
613 x 171 x 483 x 588 x 962 = 28638885542904
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.
613 : 1, 613
171 : 1, 3, 9, 19, 57, 171
483 : 1, 3, 7, 21, 23, 69, 161, 483
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,171,483,588,962, is 1.
Now, the common factors can be found like this.
613:613
171:3x 3x 19
483:3x 7x 23
588:2x 2x 3x 7x 7
962:2x 13x 37
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 7 = 126
Therefore, the value for common factors is 126.
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 = 28638885542904/(1x126)
LCM = 28638885542904/126
LCM = 227292742404
Thus, we can understand that the LCM of 613,171,483,588,962 is 227292742404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 613, 171, 483, 588, 962
1. What is the LCM of 613, 171, 483, 588, 962?
Answer: LCM of 613, 171, 483, 588, 962 is 227292742404.
2. How to calculate the LCM of 613, 171, 483, 588, 962?
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 613, 171, 483, 588, 962.
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}.