LCM of 598, 127, 782, 138, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 127, 782, 138, 513 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 598, 127, 782, 138, 513. So, keep reading to learn more.
Given numbers are 598,127,782,138,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,127,782,138,513 is 662325066.
Find LCM of 598,127,782,138,513 with Prime Factorization
| 2 | 598, 127, 782, 138, 513 |
| 3 | 299, 127, 391, 69, 513 |
| 23 | 299, 127, 391, 23, 171 |
| 13, 127, 17, 1, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 13 x 127 x 17 x 1 x 171 = 662325066
Therefore, the lowest common multiple of 598,127,782,138,513 is 662325066.
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.
598 x 127 x 782 x 138 x 513 = 4204439518968
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
127 : 1, 127
782 : 1, 2, 17, 23, 34, 46, 391, 782
138 : 1, 2, 3, 6, 23, 46, 69, 138
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,127,782,138,513, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
127:127
782:2x 17x 23
138:2x 3x 23
513:3x 3x 3x 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 2x 3x 23x 23 = 6348
Therefore, the value for common factors is 6348.
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 = 4204439518968/(1x6348)
LCM = 4204439518968/6348
LCM = 662325066
Thus, we can understand that the LCM of 598,127,782,138,513 is 662325066.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 127, 782, 138, 513
1. What is the LCM of 598, 127, 782, 138, 513?
Answer: LCM of 598, 127, 782, 138, 513 is 662325066.
2. How to calculate the LCM of 598, 127, 782, 138, 513?
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 598, 127, 782, 138, 513.
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}.