Find the LCM of 313, 253, 598, 498, 632 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 313, 253, 598, 498, 632. So, keep reading to learn more.
Given numbers are 313,253,598,498,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,253,598,498,632 is 162003589176.
Find LCM of 313,253,598,498,632 with Prime Factorization
2 | 313, 253, 598, 498, 632 |
23 | 313, 253, 299, 249, 316 |
313, 11, 13, 249, 316 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 313 x 11 x 13 x 249 x 316 = 162003589176
Therefore, the lowest common multiple of 313,253,598,498,632 is 162003589176.
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.
313 x 253 x 598 x 498 x 632 = 14904330204192
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.
313 : 1, 313
253 : 1, 11, 23, 253
598 : 1, 2, 13, 23, 26, 46, 299, 598
498 : 1, 2, 3, 6, 83, 166, 249, 498
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,253,598,498,632, is 1.
Now, the common factors can be found like this.
313:313
253:11x 23
598:2x 13x 23
498:2x 3x 83
632:2x 2x 2x 79
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 23 = 92
Therefore, the value for common factors is 92.
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 = 14904330204192/(1x92)
LCM = 14904330204192/92
LCM = 162003589176
Thus, we can understand that the LCM of 313,253,598,498,632 is 162003589176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 253, 598, 498, 632?
Answer: LCM of 313, 253, 598, 498, 632 is 162003589176.
2. How to calculate the LCM of 313, 253, 598, 498, 632?
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 313, 253, 598, 498, 632.
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}.