LCM of 730, 265, 755, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 265, 755, 950 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 730, 265, 755, 950. So, keep reading to learn more.
Given numbers are 730,265,755,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,265,755,950 is 555008050.
Find LCM of 730,265,755,950 with Prime Factorization
| 2 | 730, 265, 755, 950 |
| 5 | 365, 265, 755, 475 |
| 73, 53, 151, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 53 x 151 x 95 = 555008050
Therefore, the lowest common multiple of 730,265,755,950 is 555008050.
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.
730 x 265 x 755 x 950 = 138752012500
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
265 : 1, 5, 53, 265
755 : 1, 5, 151, 755
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,265,755,950, is 5.
Now, the common factors can be found like this.
730:2x 5x 73
265:5x 53
755:5x 151
950:2x 5x 5x 19
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 5 = 50
Therefore, the value for common factors is 50.
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 = 138752012500/(5x50)
LCM = 138752012500/250
LCM = 555008050
Thus, we can understand that the LCM of 730,265,755,950 is 555008050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 730, 265, 755, 950
1. What is the LCM of 730, 265, 755, 950?
Answer: LCM of 730, 265, 755, 950 is 555008050.
2. How to calculate the LCM of 730, 265, 755, 950?
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 730, 265, 755, 950.
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}.