LCM of 598, 481, 556, 656, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 481, 556, 656, 276 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, 481, 556, 656, 276. So, keep reading to learn more.
Given numbers are 598,481,556,656,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,481,556,656,276 is 3026305776.
Find LCM of 598,481,556,656,276 with Prime Factorization
| 2 | 598, 481, 556, 656, 276 |
| 2 | 299, 481, 278, 328, 138 |
| 13 | 299, 481, 139, 164, 69 |
| 23 | 23, 37, 139, 164, 69 |
| 1, 37, 139, 164, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 1 x 37 x 139 x 164 x 3 = 3026305776
Therefore, the lowest common multiple of 598,481,556,656,276 is 3026305776.
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 481 x 556 x 656 x 276 = 28955693664768
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
481 : 1, 13, 37, 481
556 : 1, 2, 4, 139, 278, 556
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,481,556,656,276, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
481:13x 37
556:2x 2x 139
656:2x 2x 2x 2x 41
276:2x 2x 3x 23
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 2x 2x 2x 13x 23 = 9568
Therefore, the value for common factors is 9568.
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 = 28955693664768/(1x9568)
LCM = 28955693664768/9568
LCM = 3026305776
Thus, we can understand that the LCM of 598,481,556,656,276 is 3026305776.
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FAQs on LCM of 598, 481, 556, 656, 276
1. What is the LCM of 598, 481, 556, 656, 276?
Answer: LCM of 598, 481, 556, 656, 276 is 3026305776.
2. How to calculate the LCM of 598, 481, 556, 656, 276?
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, 481, 556, 656, 276.
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}.