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LCM of 255, 684, 414, 313

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 255, 684, 414, 313 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 255, 684, 414, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,684,414,313

Given numbers are 255,684,414,313

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 255,684,414,313 is 418549860.

Find LCM of 255,684,414,313 with Prime Factorization


2 255, 684, 414, 313
3 255, 342, 207, 313
3 85, 114, 69, 313
85, 38, 23, 313

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 85 x 38 x 23 x 313 = 418549860

Therefore, the lowest common multiple of 255,684,414,313 is 418549860.

LCM Formula to Find Lowest Common Multiple of 255,684,414,313

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.

255 x 684 x 414 x 313 = 22601692440

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,684,414,313, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

684:2x 2x 3x 3x 19

414:2x 3x 3x 23

313:313

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 22601692440/(1x54)

LCM = 22601692440/54

LCM = 418549860

Thus, we can understand that the LCM of 255,684,414,313 is 418549860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 684, 414, 313

1. What is the LCM of 255, 684, 414, 313?

Answer: LCM of 255, 684, 414, 313 is 418549860.

2. How to calculate the LCM of 255, 684, 414, 313?

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 255, 684, 414, 313.

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}.