LCM of 893, 754, 897, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 754, 897, 272 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 893, 754, 897, 272. So, keep reading to learn more.
Given numbers are 893,754,897,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,754,897,272 is 6318453648.
Find LCM of 893,754,897,272 with Prime Factorization
| 2 | 893, 754, 897, 272 |
| 13 | 893, 377, 897, 136 |
| 893, 29, 69, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 893 x 29 x 69 x 136 = 6318453648
Therefore, the lowest common multiple of 893,754,897,272 is 6318453648.
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.
893 x 754 x 897 x 272 = 164279794848
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.
893 : 1, 19, 47, 893
754 : 1, 2, 13, 26, 29, 58, 377, 754
897 : 1, 3, 13, 23, 39, 69, 299, 897
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,754,897,272, is 1.
Now, the common factors can be found like this.
893:19x 47
754:2x 13x 29
897:3x 13x 23
272:2x 2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 164279794848/(1x26)
LCM = 164279794848/26
LCM = 6318453648
Thus, we can understand that the LCM of 893,754,897,272 is 6318453648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 754, 897, 272
1. What is the LCM of 893, 754, 897, 272?
Answer: LCM of 893, 754, 897, 272 is 6318453648.
2. How to calculate the LCM of 893, 754, 897, 272?
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 893, 754, 897, 272.
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}.