LCM of 762, 682, 702, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 682, 702, 374 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, 682, 702, 374. So, keep reading to learn more.
Given numbers are 762,682,702,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,682,702,374 is 516825738.
Find LCM of 762,682,702,374 with Prime Factorization
| 2 | 762, 682, 702, 374 |
| 3 | 381, 341, 351, 187 |
| 11 | 127, 341, 117, 187 |
| 127, 31, 117, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 127 x 31 x 117 x 17 = 516825738
Therefore, the lowest common multiple of 762,682,702,374 is 516825738.
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 682 x 702 x 374 = 136441994832
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
374 : 1, 2, 11, 17, 22, 34, 187, 374
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,682,702,374, is 2.
Now, the common factors can be found like this.
762:2x 3x 127
682:2x 11x 31
702:2x 3x 3x 3x 13
374:2x 11x 17
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 11 = 132
Therefore, the value for common factors is 132.
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 = 136441994832/(2x132)
LCM = 136441994832/264
LCM = 516825738
Thus, we can understand that the LCM of 762,682,702,374 is 516825738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 682, 702, 374
1. What is the LCM of 762, 682, 702, 374?
Answer: LCM of 762, 682, 702, 374 is 516825738.
2. How to calculate the LCM of 762, 682, 702, 374?
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, 682, 702, 374.
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}.