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LCM of 678, 935, 314, 788, 217

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


Find the LCM of 678, 935, 314, 788, 217 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 678, 935, 314, 788, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,935,314,788,217

Given numbers are 678,935,314,788,217

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

The LCM of 678,935,314,788,217 is 8509360300980.

Find LCM of 678,935,314,788,217 with Prime Factorization


2 678, 935, 314, 788, 217
339, 935, 157, 394, 217

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

2 x 339 x 935 x 157 x 394 x 217 = 8509360300980

Therefore, the lowest common multiple of 678,935,314,788,217 is 8509360300980.

LCM Formula to Find Lowest Common Multiple of 678,935,314,788,217

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.

678 x 935 x 314 x 788 x 217 = 34037441203920

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

935 : 1, 5, 11, 17, 55, 85, 187, 935

314 : 1, 2, 157, 314

788 : 1, 2, 4, 197, 394, 788

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,935,314,788,217, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

935:5x 11x 17

314:2x 157

788:2x 2x 197

217:7x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 34037441203920/(1x4)

LCM = 34037441203920/4

LCM = 8509360300980

Thus, we can understand that the LCM of 678,935,314,788,217 is 8509360300980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 935, 314, 788, 217

1. What is the LCM of 678, 935, 314, 788, 217?

Answer: LCM of 678, 935, 314, 788, 217 is 8509360300980.

2. How to calculate the LCM of 678, 935, 314, 788, 217?

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 678, 935, 314, 788, 217.

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}.