LCM of 309, 470, 752, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 470, 752, 962 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 309, 470, 752, 962. So, keep reading to learn more.
Given numbers are 309,470,752,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,470,752,962 is 558845040.
Find LCM of 309,470,752,962 with Prime Factorization
| 2 | 309, 470, 752, 962 |
| 47 | 309, 235, 376, 481 |
| 309, 5, 8, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 309 x 5 x 8 x 481 = 558845040
Therefore, the lowest common multiple of 309,470,752,962 is 558845040.
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.
309 x 470 x 752 x 962 = 105062867520
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.
309 : 1, 3, 103, 309
470 : 1, 2, 5, 10, 47, 94, 235, 470
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,470,752,962, is 1.
Now, the common factors can be found like this.
309:3x 103
470:2x 5x 47
752:2x 2x 2x 2x 47
962:2x 13x 37
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 47 = 188
Therefore, the value for common factors is 188.
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 = 105062867520/(1x188)
LCM = 105062867520/188
LCM = 558845040
Thus, we can understand that the LCM of 309,470,752,962 is 558845040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 470, 752, 962
1. What is the LCM of 309, 470, 752, 962?
Answer: LCM of 309, 470, 752, 962 is 558845040.
2. How to calculate the LCM of 309, 470, 752, 962?
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 309, 470, 752, 962.
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}.