LCM of 535, 458, 687, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 458, 687, 176 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 535, 458, 687, 176. So, keep reading to learn more.
Given numbers are 535,458,687,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,458,687,176 is 64687920.
Find LCM of 535,458,687,176 with Prime Factorization
| 2 | 535, 458, 687, 176 |
| 229 | 535, 229, 687, 88 |
| 535, 1, 3, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 229 x 535 x 1 x 3 x 88 = 64687920
Therefore, the lowest common multiple of 535,458,687,176 is 64687920.
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.
535 x 458 x 687 x 176 = 29627067360
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.
535 : 1, 5, 107, 535
458 : 1, 2, 229, 458
687 : 1, 3, 229, 687
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,458,687,176, is 1.
Now, the common factors can be found like this.
535:5x 107
458:2x 229
687:3x 229
176:2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 229 = 458
Therefore, the value for common factors is 458.
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 = 29627067360/(1x458)
LCM = 29627067360/458
LCM = 64687920
Thus, we can understand that the LCM of 535,458,687,176 is 64687920.
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FAQs on LCM of 535, 458, 687, 176
1. What is the LCM of 535, 458, 687, 176?
Answer: LCM of 535, 458, 687, 176 is 64687920.
2. How to calculate the LCM of 535, 458, 687, 176?
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 535, 458, 687, 176.
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}.