LCM of 403, 702, 723, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 702, 723, 738 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 403, 702, 723, 738. So, keep reading to learn more.
Given numbers are 403,702,723,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,702,723,738 is 215030322.
Find LCM of 403,702,723,738 with Prime Factorization
| 2 | 403, 702, 723, 738 |
| 3 | 403, 351, 723, 369 |
| 3 | 403, 117, 241, 123 |
| 13 | 403, 39, 241, 41 |
| 31, 3, 241, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 31 x 3 x 241 x 41 = 215030322
Therefore, the lowest common multiple of 403,702,723,738 is 215030322.
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.
403 x 702 x 723 x 738 = 150951286044
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.
403 : 1, 13, 31, 403
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
723 : 1, 3, 241, 723
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,702,723,738, is 1.
Now, the common factors can be found like this.
403:13x 31
702:2x 3x 3x 3x 13
723:3x 241
738:2x 3x 3x 41
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 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 150951286044/(1x702)
LCM = 150951286044/702
LCM = 215030322
Thus, we can understand that the LCM of 403,702,723,738 is 215030322.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 702, 723, 738
1. What is the LCM of 403, 702, 723, 738?
Answer: LCM of 403, 702, 723, 738 is 215030322.
2. How to calculate the LCM of 403, 702, 723, 738?
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 403, 702, 723, 738.
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}.