LCM of 373, 224, 172, 286, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 224, 172, 286, 897 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 373, 224, 172, 286, 897. So, keep reading to learn more.
Given numbers are 373,224,172,286,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,224,172,286,897 is 35449526112.
Find LCM of 373,224,172,286,897 with Prime Factorization
| 2 | 373, 224, 172, 286, 897 |
| 2 | 373, 112, 86, 143, 897 |
| 13 | 373, 56, 43, 143, 897 |
| 373, 56, 43, 11, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 373 x 56 x 43 x 11 x 69 = 35449526112
Therefore, the lowest common multiple of 373,224,172,286,897 is 35449526112.
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.
373 x 224 x 172 x 286 x 897 = 3686750715648
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.
373 : 1, 373
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
172 : 1, 2, 4, 43, 86, 172
286 : 1, 2, 11, 13, 22, 26, 143, 286
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,224,172,286,897, is 1.
Now, the common factors can be found like this.
373:373
224:2x 2x 2x 2x 2x 7
172:2x 2x 43
286:2x 11x 13
897:3x 13x 23
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 13 = 104
Therefore, the value for common factors is 104.
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 = 3686750715648/(1x104)
LCM = 3686750715648/104
LCM = 35449526112
Thus, we can understand that the LCM of 373,224,172,286,897 is 35449526112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 224, 172, 286, 897
1. What is the LCM of 373, 224, 172, 286, 897?
Answer: LCM of 373, 224, 172, 286, 897 is 35449526112.
2. How to calculate the LCM of 373, 224, 172, 286, 897?
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 373, 224, 172, 286, 897.
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}.