LCM of 6, 514, 357, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6, 514, 357, 776 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, 514, 357, 776. So, keep reading to learn more.
Given numbers are 6,514,357,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,514,357,776 is 71197224.
Find LCM of 6,514,357,776 with Prime Factorization
| 2 | 6, 514, 357, 776 |
| 3 | 3, 257, 357, 388 |
| 1, 257, 119, 388 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1 x 257 x 119 x 388 = 71197224
Therefore, the lowest common multiple of 6,514,357,776 is 71197224.
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 514 x 357 x 776 = 854366688
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
514 : 1, 2, 257, 514
357 : 1, 3, 7, 17, 21, 51, 119, 357
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,514,357,776, is 1.
Now, the common factors can be found like this.
6:2x 3
514:2x 257
357:3x 7x 17
776:2x 2x 2x 97
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 3 = 12
Therefore, the value for common factors is 12.
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 = 854366688/(1x12)
LCM = 854366688/12
LCM = 71197224
Thus, we can understand that the LCM of 6,514,357,776 is 71197224.
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FAQs on LCM of 6, 514, 357, 776
1. What is the LCM of 6, 514, 357, 776?
Answer: LCM of 6, 514, 357, 776 is 71197224.
2. How to calculate the LCM of 6, 514, 357, 776?
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, 514, 357, 776.
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}.