LCM of 598, 391, 416, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 391, 416, 925 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, 391, 416, 925. So, keep reading to learn more.
Given numbers are 598,391,416,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,391,416,925 is 150456800.
Find LCM of 598,391,416,925 with Prime Factorization
| 2 | 598, 391, 416, 925 |
| 13 | 299, 391, 208, 925 |
| 23 | 23, 391, 16, 925 |
| 1, 17, 16, 925 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 1 x 17 x 16 x 925 = 150456800
Therefore, the lowest common multiple of 598,391,416,925 is 150456800.
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 391 x 416 x 925 = 89973166400
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
391 : 1, 17, 23, 391
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,391,416,925, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
391:17x 23
416:2x 2x 2x 2x 2x 13
925:5x 5x 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 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 89973166400/(1x598)
LCM = 89973166400/598
LCM = 150456800
Thus, we can understand that the LCM of 598,391,416,925 is 150456800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 598, 391, 416, 925
1. What is the LCM of 598, 391, 416, 925?
Answer: LCM of 598, 391, 416, 925 is 150456800.
2. How to calculate the LCM of 598, 391, 416, 925?
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, 391, 416, 925.
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}.