LCM of 746, 274, 896, 289, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 274, 896, 289, 353 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 746, 274, 896, 289, 353. So, keep reading to learn more.
Given numbers are 746,274,896,289,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,274,896,289,353 is 4671000962432.
Find LCM of 746,274,896,289,353 with Prime Factorization
| 2 | 746, 274, 896, 289, 353 |
| 373, 137, 448, 289, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 373 x 137 x 448 x 289 x 353 = 4671000962432
Therefore, the lowest common multiple of 746,274,896,289,353 is 4671000962432.
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.
746 x 274 x 896 x 289 x 353 = 18684003849728
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.
746 : 1, 2, 373, 746
274 : 1, 2, 137, 274
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
289 : 1, 17, 289
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,274,896,289,353, is 1.
Now, the common factors can be found like this.
746:2x 373
274:2x 137
896:2x 2x 2x 2x 2x 2x 2x 7
289:17x 17
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 18684003849728/(1x4)
LCM = 18684003849728/4
LCM = 4671000962432
Thus, we can understand that the LCM of 746,274,896,289,353 is 4671000962432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 274, 896, 289, 353
1. What is the LCM of 746, 274, 896, 289, 353?
Answer: LCM of 746, 274, 896, 289, 353 is 4671000962432.
2. How to calculate the LCM of 746, 274, 896, 289, 353?
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 746, 274, 896, 289, 353.
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}.