LCM of 734, 585, 504, 662, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 734, 585, 504, 662, 158 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 734, 585, 504, 662, 158. So, keep reading to learn more.
Given numbers are 734,585,504,662,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,585,504,662,158 is 314387335080.
Find LCM of 734,585,504,662,158 with Prime Factorization
| 2 | 734, 585, 504, 662, 158 |
| 3 | 367, 585, 252, 331, 79 |
| 3 | 367, 195, 84, 331, 79 |
| 367, 65, 28, 331, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 367 x 65 x 28 x 331 x 79 = 314387335080
Therefore, the lowest common multiple of 734,585,504,662,158 is 314387335080.
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.
734 x 585 x 504 x 662 x 158 = 22635888125760
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.
734 : 1, 2, 367, 734
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
662 : 1, 2, 331, 662
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,585,504,662,158, is 1.
Now, the common factors can be found like this.
734:2x 367
585:3x 3x 5x 13
504:2x 2x 2x 3x 3x 7
662:2x 331
158:2x 79
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 22635888125760/(1x72)
LCM = 22635888125760/72
LCM = 314387335080
Thus, we can understand that the LCM of 734,585,504,662,158 is 314387335080.
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FAQs on LCM of 734, 585, 504, 662, 158
1. What is the LCM of 734, 585, 504, 662, 158?
Answer: LCM of 734, 585, 504, 662, 158 is 314387335080.
2. How to calculate the LCM of 734, 585, 504, 662, 158?
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 734, 585, 504, 662, 158.
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}.