LCM of 762, 762, 513, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 762, 513, 434 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 762, 762, 513, 434. So, keep reading to learn more.
Given numbers are 762,762,513,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,762,513,434 is 28275534.
Find LCM of 762,762,513,434 with Prime Factorization
| 2 | 762, 762, 513, 434 |
| 3 | 381, 381, 513, 217 |
| 127 | 127, 127, 171, 217 |
| 1, 1, 171, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 1 x 1 x 171 x 217 = 28275534
Therefore, the lowest common multiple of 762,762,513,434 is 28275534.
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.
762 x 762 x 513 x 434 = 129275741448
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
762 : 1, 2, 3, 6, 127, 254, 381, 762
513 : 1, 3, 9, 19, 27, 57, 171, 513
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,762,513,434, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
762:2x 3x 127
513:3x 3x 3x 19
434:2x 7x 31
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 3x 3x 127 = 4572
Therefore, the value for common factors is 4572.
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 = 129275741448/(1x4572)
LCM = 129275741448/4572
LCM = 28275534
Thus, we can understand that the LCM of 762,762,513,434 is 28275534.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 762, 513, 434
1. What is the LCM of 762, 762, 513, 434?
Answer: LCM of 762, 762, 513, 434 is 28275534.
2. How to calculate the LCM of 762, 762, 513, 434?
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 762, 762, 513, 434.
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}.