LCM of 799, 178, 507, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 178, 507, 702 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 799, 178, 507, 702. So, keep reading to learn more.
Given numbers are 799,178,507,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,178,507,702 is 648958986.
Find LCM of 799,178,507,702 with Prime Factorization
| 2 | 799, 178, 507, 702 |
| 3 | 799, 89, 507, 351 |
| 13 | 799, 89, 169, 117 |
| 799, 89, 13, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 799 x 89 x 13 x 9 = 648958986
Therefore, the lowest common multiple of 799,178,507,702 is 648958986.
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.
799 x 178 x 507 x 702 = 50618800908
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.
799 : 1, 17, 47, 799
178 : 1, 2, 89, 178
507 : 1, 3, 13, 39, 169, 507
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,178,507,702, is 1.
Now, the common factors can be found like this.
799:17x 47
178:2x 89
507:3x 13x 13
702:2x 3x 3x 3x 13
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 13 = 78
Therefore, the value for common factors is 78.
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 = 50618800908/(1x78)
LCM = 50618800908/78
LCM = 648958986
Thus, we can understand that the LCM of 799,178,507,702 is 648958986.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 799, 178, 507, 702
1. What is the LCM of 799, 178, 507, 702?
Answer: LCM of 799, 178, 507, 702 is 648958986.
2. How to calculate the LCM of 799, 178, 507, 702?
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 799, 178, 507, 702.
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}.