LCM of 202, 598, 957, 406, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 598, 957, 406, 310 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 202, 598, 957, 406, 310. So, keep reading to learn more.
Given numbers are 202,598,957,406,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,598,957,406,310 is 62713961310.
Find LCM of 202,598,957,406,310 with Prime Factorization
| 2 | 202, 598, 957, 406, 310 |
| 29 | 101, 299, 957, 203, 155 |
| 101, 299, 33, 7, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 101 x 299 x 33 x 7 x 155 = 62713961310
Therefore, the lowest common multiple of 202,598,957,406,310 is 62713961310.
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.
202 x 598 x 957 x 406 x 310 = 14549639023920
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.
202 : 1, 2, 101, 202
598 : 1, 2, 13, 23, 26, 46, 299, 598
957 : 1, 3, 11, 29, 33, 87, 319, 957
406 : 1, 2, 7, 14, 29, 58, 203, 406
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,598,957,406,310, is 1.
Now, the common factors can be found like this.
202:2x 101
598:2x 13x 23
957:3x 11x 29
406:2x 7x 29
310:2x 5x 31
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 29 = 232
Therefore, the value for common factors is 232.
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 = 14549639023920/(1x232)
LCM = 14549639023920/232
LCM = 62713961310
Thus, we can understand that the LCM of 202,598,957,406,310 is 62713961310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 598, 957, 406, 310
1. What is the LCM of 202, 598, 957, 406, 310?
Answer: LCM of 202, 598, 957, 406, 310 is 62713961310.
2. How to calculate the LCM of 202, 598, 957, 406, 310?
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 202, 598, 957, 406, 310.
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}.