LCM of 739, 285, 646, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 285, 646, 290 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 739, 285, 646, 290. So, keep reading to learn more.
Given numbers are 739,285,646,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,285,646,290 is 207666390.
Find LCM of 739,285,646,290 with Prime Factorization
| 2 | 739, 285, 646, 290 |
| 5 | 739, 285, 323, 145 |
| 19 | 739, 57, 323, 29 |
| 739, 3, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 739 x 3 x 17 x 29 = 207666390
Therefore, the lowest common multiple of 739,285,646,290 is 207666390.
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.
739 x 285 x 646 x 290 = 39456614100
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.
739 : 1, 739
285 : 1, 3, 5, 15, 19, 57, 95, 285
646 : 1, 2, 17, 19, 34, 38, 323, 646
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,285,646,290, is 1.
Now, the common factors can be found like this.
739:739
285:3x 5x 19
646:2x 17x 19
290:2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 39456614100/(1x190)
LCM = 39456614100/190
LCM = 207666390
Thus, we can understand that the LCM of 739,285,646,290 is 207666390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 739, 285, 646, 290
1. What is the LCM of 739, 285, 646, 290?
Answer: LCM of 739, 285, 646, 290 is 207666390.
2. How to calculate the LCM of 739, 285, 646, 290?
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 739, 285, 646, 290.
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}.