LCM of 762, 602, 288, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 602, 288, 508 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, 602, 288, 508. So, keep reading to learn more.
Given numbers are 762,602,288,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,602,288,508 is 11009376.
Find LCM of 762,602,288,508 with Prime Factorization
| 2 | 762, 602, 288, 508 |
| 2 | 381, 301, 144, 254 |
| 3 | 381, 301, 72, 127 |
| 127 | 127, 301, 24, 127 |
| 1, 301, 24, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 1 x 301 x 24 x 1 = 11009376
Therefore, the lowest common multiple of 762,602,288,508 is 11009376.
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 602 x 288 x 508 = 67113156096
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
602 : 1, 2, 7, 14, 43, 86, 301, 602
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
508 : 1, 2, 4, 127, 254, 508
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,602,288,508, is 2.
Now, the common factors can be found like this.
762:2x 3x 127
602:2x 7x 43
288:2x 2x 2x 2x 2x 3x 3
508:2x 2x 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 2x 2x 3x 127 = 3048
Therefore, the value for common factors is 3048.
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 = 67113156096/(2x3048)
LCM = 67113156096/6096
LCM = 11009376
Thus, we can understand that the LCM of 762,602,288,508 is 11009376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 602, 288, 508
1. What is the LCM of 762, 602, 288, 508?
Answer: LCM of 762, 602, 288, 508 is 11009376.
2. How to calculate the LCM of 762, 602, 288, 508?
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, 602, 288, 508.
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}.