LCM of 437, 456, 513, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 456, 513, 762 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 437, 456, 513, 762. So, keep reading to learn more.
Given numbers are 437,456,513,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,456,513,762 is 11987784.
Find LCM of 437,456,513,762 with Prime Factorization
| 2 | 437, 456, 513, 762 |
| 3 | 437, 228, 513, 381 |
| 19 | 437, 76, 171, 127 |
| 23, 4, 9, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 4 x 9 x 127 = 11987784
Therefore, the lowest common multiple of 437,456,513,762 is 11987784.
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.
437 x 456 x 513 x 762 = 77896620432
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.
437 : 1, 19, 23, 437
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
513 : 1, 3, 9, 19, 27, 57, 171, 513
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,456,513,762, is 1.
Now, the common factors can be found like this.
437:19x 23
456:2x 2x 2x 3x 19
513:3x 3x 3x 19
762:2x 3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19x 19 = 6498
Therefore, the value for common factors is 6498.
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 = 77896620432/(1x6498)
LCM = 77896620432/6498
LCM = 11987784
Thus, we can understand that the LCM of 437,456,513,762 is 11987784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 456, 513, 762
1. What is the LCM of 437, 456, 513, 762?
Answer: LCM of 437, 456, 513, 762 is 11987784.
2. How to calculate the LCM of 437, 456, 513, 762?
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 437, 456, 513, 762.
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}.