LCM of 999, 507, 690, 624, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 507, 690, 624, 117 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 999, 507, 690, 624, 117. So, keep reading to learn more.
Given numbers are 999,507,690,624,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,507,690,624,117 is 310649040.
Find LCM of 999,507,690,624,117 with Prime Factorization
| 2 | 999, 507, 690, 624, 117 |
| 3 | 999, 507, 345, 312, 117 |
| 3 | 333, 169, 115, 104, 39 |
| 13 | 111, 169, 115, 104, 13 |
| 111, 1, 115, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 111 x 1 x 115 x 8 x 13 = 310649040
Therefore, the lowest common multiple of 999,507,690,624,117 is 310649040.
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.
999 x 507 x 690 x 624 x 117 = 25514848251360
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
507 : 1, 3, 13, 39, 169, 507
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
117 : 1, 3, 9, 13, 39, 117
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,507,690,624,117, is 3.
Now, the common factors can be found like this.
999:3x 3x 3x 37
507:3x 13x 13
690:2x 3x 5x 23
624:2x 2x 2x 2x 3x 13
117:3x 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 3x 3x 3x 13x 13 = 27378
Therefore, the value for common factors is 27378.
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 = 25514848251360/(3x27378)
LCM = 25514848251360/82134
LCM = 310649040
Thus, we can understand that the LCM of 999,507,690,624,117 is 310649040.
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FAQs on LCM of 999, 507, 690, 624, 117
1. What is the LCM of 999, 507, 690, 624, 117?
Answer: LCM of 999, 507, 690, 624, 117 is 310649040.
2. How to calculate the LCM of 999, 507, 690, 624, 117?
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 999, 507, 690, 624, 117.
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}.