LCM of 202, 849, 897, 336, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 849, 897, 336, 761 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, 849, 897, 336, 761. So, keep reading to learn more.
Given numbers are 202,849,897,336,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,849,897,336,761 is 2185259071632.
Find LCM of 202,849,897,336,761 with Prime Factorization
| 2 | 202, 849, 897, 336, 761 |
| 3 | 101, 849, 897, 168, 761 |
| 101, 283, 299, 56, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 283 x 299 x 56 x 761 = 2185259071632
Therefore, the lowest common multiple of 202,849,897,336,761 is 2185259071632.
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 849 x 897 x 336 x 761 = 39334663289376
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
849 : 1, 3, 283, 849
897 : 1, 3, 13, 23, 39, 69, 299, 897
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,849,897,336,761, is 1.
Now, the common factors can be found like this.
202:2x 101
849:3x 283
897:3x 13x 23
336:2x 2x 2x 2x 3x 7
761:761
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 39334663289376/(1x18)
LCM = 39334663289376/18
LCM = 2185259071632
Thus, we can understand that the LCM of 202,849,897,336,761 is 2185259071632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 849, 897, 336, 761
1. What is the LCM of 202, 849, 897, 336, 761?
Answer: LCM of 202, 849, 897, 336, 761 is 2185259071632.
2. How to calculate the LCM of 202, 849, 897, 336, 761?
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, 849, 897, 336, 761.
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}.