LCM of 6, 916, 735, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6, 916, 735, 308 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 6, 916, 735, 308. So, keep reading to learn more.
Given numbers are 6,916,735,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,916,735,308 is 7405860.
Find LCM of 6,916,735,308 with Prime Factorization
| 2 | 6, 916, 735, 308 |
| 2 | 3, 458, 735, 154 |
| 3 | 3, 229, 735, 77 |
| 7 | 1, 229, 245, 77 |
| 1, 229, 35, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 1 x 229 x 35 x 11 = 7405860
Therefore, the lowest common multiple of 6,916,735,308 is 7405860.
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.
6 x 916 x 735 x 308 = 1244184480
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.
6 : 1, 2, 3, 6
916 : 1, 2, 4, 229, 458, 916
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,916,735,308, is 1.
Now, the common factors can be found like this.
6:2x 3
916:2x 2x 229
735:3x 5x 7x 7
308:2x 2x 7x 11
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 7 = 168
Therefore, the value for common factors is 168.
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 = 1244184480/(1x168)
LCM = 1244184480/168
LCM = 7405860
Thus, we can understand that the LCM of 6,916,735,308 is 7405860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 6, 916, 735, 308
1. What is the LCM of 6, 916, 735, 308?
Answer: LCM of 6, 916, 735, 308 is 7405860.
2. How to calculate the LCM of 6, 916, 735, 308?
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 6, 916, 735, 308.
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}.