LCM of 762, 728, 897, 349, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 728, 897, 349, 451 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 762, 728, 897, 349, 451. So, keep reading to learn more.
Given numbers are 762,728,897,349,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,728,897,349,451 is 1004121254136.
Find LCM of 762,728,897,349,451 with Prime Factorization
| 2 | 762, 728, 897, 349, 451 |
| 3 | 381, 364, 897, 349, 451 |
| 13 | 127, 364, 299, 349, 451 |
| 127, 28, 23, 349, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 127 x 28 x 23 x 349 x 451 = 1004121254136
Therefore, the lowest common multiple of 762,728,897,349,451 is 1004121254136.
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.
762 x 728 x 897 x 349 x 451 = 78321457822608
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
897 : 1, 3, 13, 23, 39, 69, 299, 897
349 : 1, 349
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,728,897,349,451, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
728:2x 2x 2x 7x 13
897:3x 13x 23
349:349
451:11x 41
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 13 = 78
Therefore, the value for common factors is 78.
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 = 78321457822608/(1x78)
LCM = 78321457822608/78
LCM = 1004121254136
Thus, we can understand that the LCM of 762,728,897,349,451 is 1004121254136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 728, 897, 349, 451
1. What is the LCM of 762, 728, 897, 349, 451?
Answer: LCM of 762, 728, 897, 349, 451 is 1004121254136.
2. How to calculate the LCM of 762, 728, 897, 349, 451?
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 762, 728, 897, 349, 451.
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}.