LCM of 467, 928, 538, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 928, 538, 807 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 467, 928, 538, 807. So, keep reading to learn more.
Given numbers are 467,928,538,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,928,538,807 is 349734432.
Find LCM of 467,928,538,807 with Prime Factorization
| 2 | 467, 928, 538, 807 |
| 269 | 467, 464, 269, 807 |
| 467, 464, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 467 x 464 x 1 x 3 = 349734432
Therefore, the lowest common multiple of 467,928,538,807 is 349734432.
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.
467 x 928 x 538 x 807 = 188157124416
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.
467 : 1, 467
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
538 : 1, 2, 269, 538
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,928,538,807, is 1.
Now, the common factors can be found like this.
467:467
928:2x 2x 2x 2x 2x 29
538:2x 269
807:3x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 269 = 538
Therefore, the value for common factors is 538.
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 = 188157124416/(1x538)
LCM = 188157124416/538
LCM = 349734432
Thus, we can understand that the LCM of 467,928,538,807 is 349734432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 928, 538, 807
1. What is the LCM of 467, 928, 538, 807?
Answer: LCM of 467, 928, 538, 807 is 349734432.
2. How to calculate the LCM of 467, 928, 538, 807?
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 467, 928, 538, 807.
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}.