LCM of 598, 667, 321, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 667, 321, 107 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, 667, 321, 107. So, keep reading to learn more.
Given numbers are 598,667,321,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,667,321,107 is 5566782.
Find LCM of 598,667,321,107 with Prime Factorization
| 23 | 598, 667, 321, 107 |
| 107 | 26, 29, 321, 107 |
| 26, 29, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
23 x 107 x 26 x 29 x 3 x 1 = 5566782
Therefore, the lowest common multiple of 598,667,321,107 is 5566782.
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 667 x 321 x 107 = 13699850502
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
667 : 1, 23, 29, 667
321 : 1, 3, 107, 321
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,667,321,107, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
667:23x 29
321:3x 107
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 107 = 2461
Therefore, the value for common factors is 2461.
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 = 13699850502/(1x2461)
LCM = 13699850502/2461
LCM = 5566782
Thus, we can understand that the LCM of 598,667,321,107 is 5566782.
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FAQs on LCM of 598, 667, 321, 107
1. What is the LCM of 598, 667, 321, 107?
Answer: LCM of 598, 667, 321, 107 is 5566782.
2. How to calculate the LCM of 598, 667, 321, 107?
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, 667, 321, 107.
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}.