LCM of 682, 737, 186, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 737, 186, 748 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 682, 737, 186, 748. So, keep reading to learn more.
Given numbers are 682,737,186,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,737,186,748 is 4660788.
Find LCM of 682,737,186,748 with Prime Factorization
| 2 | 682, 737, 186, 748 |
| 11 | 341, 737, 93, 374 |
| 31 | 31, 67, 93, 34 |
| 1, 67, 3, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 1 x 67 x 3 x 34 = 4660788
Therefore, the lowest common multiple of 682,737,186,748 is 4660788.
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.
682 x 737 x 186 x 748 = 69930463152
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
737 : 1, 11, 67, 737
186 : 1, 2, 3, 6, 31, 62, 93, 186
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,737,186,748, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
737:11x 67
186:2x 3x 31
748:2x 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 11x 11x 31 = 15004
Therefore, the value for common factors is 15004.
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 = 69930463152/(1x15004)
LCM = 69930463152/15004
LCM = 4660788
Thus, we can understand that the LCM of 682,737,186,748 is 4660788.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 737, 186, 748
1. What is the LCM of 682, 737, 186, 748?
Answer: LCM of 682, 737, 186, 748 is 4660788.
2. How to calculate the LCM of 682, 737, 186, 748?
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 682, 737, 186, 748.
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}.